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100068144 = 24311189523
BaseRepresentation
bin1011111011011…
…10101100110000
320222021222200120
411331232230300
5201104140034
613532450240
72323364601
oct575565460
9228258616
10100068144
1151538750
1229619980
1317968827
14d40bda8
158bb9c49
hex5f6eb30

100068144 has 40 divisors (see below), whose sum is σ = 282011712. Its totient is φ = 30323520.

The previous prime is 100068139. The next prime is 100068197. The reversal of 100068144 is 441860001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94234 + ... + 95289.

Almost surely, 2100068144 is an apocalyptic number.

It is an amenable number.

100068144 is an abundant number, since it is smaller than the sum of its proper divisors (181943568).

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

100068144 is a wasteful number, since it uses less digits than its factorization.

100068144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189545 (or 189539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100068144 is about 10003.4066197471. The cubic root of 100068144 is about 464.2642915649.

The spelling of 100068144 in words is "one hundred million, sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 189523 379046 568569 758092 1137138 1516184 2084753 2274276 3032368 4169506 4548552 6254259 8339012 9097104 12508518 16678024 25017036 33356048 50034072 100068144