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100069056 = 2632672593
BaseRepresentation
bin1011111011011…
…10111011000000
320222022000221100
411331232323000
5201104202211
613532454400
72323400343
oct575567300
9228260840
10100069056
11515393aa
122961a400
1317969079
14d40c45a
158bba156
hex5f6eec0

100069056 has 84 divisors (see below), whose sum is σ = 291223192. Its totient is φ = 32845824.

The previous prime is 100069037. The next prime is 100069103. The reversal of 100069056 is 650960001.

It is a super-2 number, since 2×1000690562 = 20027631937462272, which contains 22 as substring.

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, 37296 + ... + 39888.

Almost surely, 2100069056 is an apocalyptic number.

100069056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145611596).

100069056 is an abundant number, since it is smaller than the sum of its proper divisors (191154136).

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

100069056 is a wasteful number, since it uses less digits than its factorization.

100069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100069056 is about 10003.4522041143. The cubic root of 100069056 is about 464.2657019630.

The spelling of 100069056 in words is "one hundred million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 2593 3216 4288 4824 5186 6432 7779 9648 10372 12864 15558 19296 20744 23337 31116 38592 41488 46674 62232 82976 93348 124464 165952 173731 186696 248928 347462 373392 497856 521193 694924 746784 1042386 1389848 1493568 1563579 2084772 2779696 3127158 4169544 5559392 6254316 8339088 11118784 12508632 16678176 25017264 33356352 50034528 100069056