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1390535640 = 233351399041
BaseRepresentation
bin101001011100001…
…1110001111011000
310120220112112022000
41102320132033120
510321434120030
6345552001000
746313233524
oct12270361730
93526475260
101390535640
11653a1500a
12329830160
13192116970
14d296ad84
1582125860
hex52e1e3d8

1390535640 has 128 divisors (see below), whose sum is σ = 4991716800. Its totient is φ = 342282240.

The previous prime is 1390535617. The next prime is 1390535647. The reversal of 1390535640 is 465350931.

1390535640 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 5 + 3 + 5 + 640 = 666.

1390535640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13905356402 = 3867178732220419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1390535595 and 1390535604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390535647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35481 + ... + 63560.

Almost surely, 21390535640 is an apocalyptic number.

1390535640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1390535640 is an abundant number, since it is smaller than the sum of its proper divisors (3601181160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1390535640 is a wasteful number, since it uses less digits than its factorization.

1390535640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99074 (or 99064 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1390535640 is about 37289.8865645901. The cubic root of 1390535640 is about 1116.1623650921.

The spelling of 1390535640 in words is "one billion, three hundred ninety million, five hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 99041 198082 297123 396164 495205 594246 792328 891369 990410 1188492 1287533 1485615 1782738 1980820 2376984 2575066 2674107 2971230 3565476 3862599 3961640 4456845 5150132 5348214 5942460 6437665 7130952 7725198 8913690 10300264 10696428 11587797 11884920 12875330 13370535 15450396 17827380 19312995 21392856 23175594 25750660 26741070 30900792 34763391 35654760 38625990 46351188 51501320 53482140 57938985 69526782 77251980 92702376 106964280 115877970 139053564 154503960 173816955 231755940 278107128 347633910 463511880 695267820 1390535640