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114944632 = 23112973617
BaseRepresentation
bin1101101100111…
…10101001111000
322000021210101121
412312132221320
5213411212012
615223355024
72564004355
oct666365170
9260253347
10114944632
1159979670
12325b2a74
131aa76b9a
14113a162c
15a157a07
hex6d9ea78

114944632 has 64 divisors (see below), whose sum is σ = 246952800. Its totient is φ = 49674240.

The previous prime is 114944611. The next prime is 114944653. The reversal of 114944632 is 236449411.

It is an interprime number because it is at equal distance from previous prime (114944611) and next prime (114944653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185988 + ... + 186604.

Almost surely, 2114944632 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 114944632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123476400).

114944632 is an abundant number, since it is smaller than the sum of its proper divisors (132008168).

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

114944632 is a wasteful number, since it uses less digits than its factorization.

114944632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 114944632 is about 10721.2234376493. The cubic root of 114944632 is about 486.2163566707.

The spelling of 114944632 in words is "one hundred fourteen million, nine hundred forty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 73 88 116 146 232 292 319 584 617 638 803 1234 1276 1606 2117 2468 2552 3212 4234 4936 6424 6787 8468 13574 16936 17893 23287 27148 35786 45041 46574 54296 71572 90082 93148 143144 180164 186296 196823 360328 393646 495451 787292 990902 1306189 1574584 1981804 2612378 3963608 5224756 10449512 14368079 28736158 57472316 114944632