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53683740 = 2232511191427
BaseRepresentation
bin1100110011001…
…0011000011100
310202000102020200
43030302120130
5102220334430
65154343500
71221206235
oct314623034
9122012220
1053683740
1128337430
1215b8ab90
13b178036
1471b608c
154aa6460
hex333261c

53683740 has 144 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 12320640.

The previous prime is 53683717. The next prime is 53683757. The reversal of 53683740 is 4738635.

It is a happy number.

53683740 is a `hidden beast` number, since 536 + 83 + 7 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 53683695 and 53683704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36907 + ... + 38333.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 253683740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53683740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

53683740 is an abundant number, since it is smaller than the sum of its proper divisors (133441380).

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

53683740 is a wasteful number, since it uses less digits than its factorization.

53683740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53683740 is about 7326.9188612950. The cubic root of 53683740 is about 377.2369759689.

The spelling of 53683740 in words is "fifty-three million, six hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1427 1710 1881 1980 2090 2508 2854 3135 3420 3762 4180 4281 5708 6270 7135 7524 8562 9405 12540 12843 14270 15697 17124 18810 21405 25686 27113 28540 31394 37620 42810 47091 51372 54226 62788 64215 78485 81339 85620 94182 108452 128430 135565 141273 156970 162678 188364 235455 244017 256860 271130 282546 298243 313940 325356 406695 470910 488034 542260 565092 596486 706365 813390 894729 941820 976068 1192972 1220085 1412730 1491215 1626780 1789458 2440170 2684187 2825460 2982430 3578916 4473645 4880340 5368374 5964860 8947290 10736748 13420935 17894580 26841870 53683740