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10956996 = 22321983193
BaseRepresentation
bin101001110011…
…000011000100
3202121200011200
4221303003010
510301110441
61030502500
7162063411
oct51630304
922550150
1010956996
116204176
123804a30
13236833b
141653108
15e667b6
hexa730c4

10956996 has 72 divisors (see below), whose sum is σ = 29658720. Its totient is φ = 3400704.

The previous prime is 10956991. The next prime is 10957049. The reversal of 10956996 is 69965901.

It is a super-2 number, since 2×109569962 = 240111522688032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10956991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56676 + ... + 56868.

Almost surely, 210956996 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 10956996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829360).

10956996 is an abundant number, since it is smaller than the sum of its proper divisors (18701724).

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

10956996 is a wasteful number, since it uses less digits than its factorization.

10956996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 10956996 is about 3310.1353446649. The cubic root of 10956996 is about 222.1078122549.

The spelling of 10956996 in words is "ten million, nine hundred fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 193 228 249 332 342 386 498 579 684 747 772 996 1158 1494 1577 1737 2316 2988 3154 3474 3667 4731 6308 6948 7334 9462 11001 14193 14668 16019 18924 22002 28386 32038 33003 44004 48057 56772 64076 66006 96114 132012 144171 192228 288342 304361 576684 608722 913083 1217444 1826166 2739249 3652332 5478498 10956996