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9956940 = 22357151157
BaseRepresentation
bin100101111110…
…111001001100
3200201212100120
4211332321030
510022110230
6553224540
7150426660
oct45767114
920655316
109956940
115690884
123402150
1320a80a6
1414728a0
15d1a310
hex97ee4c

9956940 has 96 divisors (see below), whose sum is σ = 32277504. Its totient is φ = 2246400.

The previous prime is 9956939. The next prime is 9956941. The reversal of 9956940 is 496599.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9956939) and next prime (9956941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9956892 and 9956901.

It is not an unprimeable number, because it can be changed into a prime (9956941) 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, 63342 + ... + 63498.

It is an arithmetic number, because the mean of its divisors is an integer number (336224).

Almost surely, 29956940 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 9956940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138752).

9956940 is an abundant number, since it is smaller than the sum of its proper divisors (22320564).

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

9956940 is a wasteful number, since it uses less digits than its factorization.

9956940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 9956940 is about 3155.4619313185. The cubic root of 9956940 is about 215.1337908931.

The spelling of 9956940 in words is "nine million, nine hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 157 210 302 314 420 453 471 604 628 755 785 906 942 1057 1099 1510 1570 1812 1884 2114 2198 2265 2355 3020 3140 3171 3297 4228 4396 4530 4710 5285 5495 6342 6594 9060 9420 10570 10990 12684 13188 15855 16485 21140 21980 23707 31710 32970 47414 63420 65940 71121 94828 118535 142242 165949 237070 284484 331898 355605 474140 497847 663796 711210 829745 995694 1422420 1659490 1991388 2489235 3318980 4978470 9956940