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10425984 = 273191429
BaseRepresentation
bin100111110001…
…011010000000
3201121200202120
4213301122000
510132112414
61011244240
7154422312
oct47613200
921550676
1010425984
115981218
1235a9680
13221072a
1415557b2
15dae2a9
hex9f1680

10425984 has 64 divisors (see below), whose sum is σ = 29172000. Its totient is φ = 3290112.

The previous prime is 10425983. The next prime is 10425991. The reversal of 10425984 is 48952401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×104259843 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10425983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6582 + ... + 8010.

Almost surely, 210425984 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 10425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586000).

10425984 is an abundant number, since it is smaller than the sum of its proper divisors (18746016).

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

10425984 is a wasteful number, since it uses less digits than its factorization.

10425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10425984 is about 3228.9292342819. The cubic root of 10425984 is about 218.4602123023.

The spelling of 10425984 in words is "ten million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1429 1824 2432 2858 3648 4287 5716 7296 8574 11432 17148 22864 27151 34296 45728 54302 68592 81453 91456 108604 137184 162906 182912 217208 274368 325812 434416 548736 651624 868832 1303248 1737664 2606496 3475328 5212992 10425984