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9957045 = 3572192331
BaseRepresentation
bin100101111110…
…111010110101
3200201212111110
4211332322311
510022111140
6553225233
7150430200
oct45767265
920655443
109957045
11569096a
123402219
1320a8157
141472937
15d1a380
hex97eeb5

9957045 has 96 divisors (see below), whose sum is σ = 21012480. Its totient is φ = 3991680.

The previous prime is 9957043. The next prime is 9957047. The reversal of 9957045 is 5407599.

It is an interprime number because it is at equal distance from previous prime (9957043) and next prime (9957047).

It is not a de Polignac number, because 9957045 - 21 = 9957043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9956994 and 9957012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321180 + ... + 321210.

It is an arithmetic number, because the mean of its divisors is an integer number (218880).

Almost surely, 29957045 is an apocalyptic number.

9957045 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9957045 is an abundant number, since it is smaller than the sum of its proper divisors (11055435).

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

9957045 is a wasteful number, since it uses less digits than its factorization.

9957045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 9957045 is about 3155.4785690922. The cubic root of 9957045 is about 215.1345471150.

The spelling of 9957045 in words is "nine million, nine hundred fifty-seven thousand, forty-five".

Divisors: 1 3 5 7 15 19 21 23 31 35 49 57 69 93 95 105 115 133 147 155 161 217 245 285 345 399 437 465 483 589 651 665 713 735 805 931 1085 1127 1311 1519 1767 1995 2139 2185 2415 2793 2945 3059 3255 3381 3565 4123 4557 4655 4991 5635 6555 7595 8835 9177 10695 12369 13547 13965 14973 15295 16905 20615 21413 22785 24955 28861 34937 40641 45885 61845 64239 67735 74865 86583 94829 104811 107065 144305 174685 203205 284487 321195 432915 474145 524055 663803 1422435 1991409 3319015 9957045