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9957420 = 223251147107
BaseRepresentation
bin100101111111…
…000000101100
3200201220000100
4211333000230
510022114140
6553231100
7150431244
oct45770054
920656010
109957420
115691180
123402490
1320a8385
141472b24
15d1a530
hex97f02c

9957420 has 144 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 2340480.

The previous prime is 9957407. The next prime is 9957439. The reversal of 9957420 is 247599.

9957420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an Ulam number.

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, 93007 + ... + 93113.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 29957420 is an apocalyptic number.

9957420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

9957420 is an abundant number, since it is smaller than the sum of its proper divisors (24008148).

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

9957420 is a wasteful number, since it uses less digits than its factorization.

9957420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9957420 is about 3155.5379889965. The cubic root of 9957420 is about 215.1372478642.

The spelling of 9957420 in words is "nine million, nine hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 107 110 132 141 165 180 188 198 214 220 235 282 321 330 396 423 428 470 495 517 535 564 642 660 705 846 940 963 990 1034 1070 1177 1284 1410 1551 1605 1692 1926 1980 2068 2115 2140 2354 2585 2820 3102 3210 3531 3852 4230 4653 4708 4815 5029 5170 5885 6204 6420 7062 7755 8460 9306 9630 10058 10340 10593 11770 14124 15087 15510 17655 18612 19260 20116 21186 23265 23540 25145 30174 31020 35310 42372 45261 46530 50290 52965 55319 60348 70620 75435 90522 93060 100580 105930 110638 150870 165957 181044 211860 221276 226305 276595 301740 331914 452610 497871 553190 663828 829785 905220 995742 1106380 1659570 1991484 2489355 3319140 4978710 9957420