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100000944 = 2432719781
BaseRepresentation
bin1011111010111…
…10010010110000
320222011120111200
411331132102300
5201100012234
613531211200
72322664641
oct575362260
9228146450
10100000944
11514a220a
12295a6b00
1317944074
14d3d16c8
158ba4d99
hex5f5e4b0

100000944 has 60 divisors (see below), whose sum is σ = 283834512. Its totient is φ = 32860800.

The previous prime is 100000939. The next prime is 100000963. The reversal of 100000944 is 449000001.

It is a super-2 number, since 2×1000009442 = 20000377601782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5334 + ... + 15114.

Almost surely, 2100000944 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 100000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141917256).

100000944 is an abundant number, since it is smaller than the sum of its proper divisors (183833568).

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

100000944 is a wasteful number, since it uses less digits than its factorization.

100000944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9866 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100000944 is about 10000.0471998886. The cubic root of 100000944 is about 464.1603439100.

Adding to 100000944 its reverse (449000001), we get a palindrome (549000945).

The spelling of 100000944 in words is "one hundred million, nine hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 9781 10224 19562 29343 39124 58686 78248 88029 117372 156496 176058 234744 352116 469488 694451 704232 1388902 1408464 2083353 2777804 4166706 5555608 6250059 8333412 11111216 12500118 16666824 25000236 33333648 50000472 100000944