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114691104 = 25321141883
BaseRepresentation
bin1101101011000…
…00110000100000
321222210220121200
412311200300200
5213330103404
615214121200
72561600253
oct665406040
9258726550
10114691104
1159816140
12324b0200
131a9b8678
141133709a
15a107839
hex6d60c20

114691104 has 144 divisors (see below), whose sum is σ = 364893984. Its totient is φ = 33868800.

The previous prime is 114691079. The next prime is 114691117. The reversal of 114691104 is 401196411.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129447 + ... + 130329.

It is an arithmetic number, because the mean of its divisors is an integer number (2533986).

Almost surely, 2114691104 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 114691104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446992).

114691104 is an abundant number, since it is smaller than the sum of its proper divisors (250202880).

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

114691104 is a wasteful number, since it uses less digits than its factorization.

114691104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 114691104 is about 10709.3932601245. The cubic root of 114691104 is about 485.8586186321.

The spelling of 114691104 in words is "one hundred fourteen million, six hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 883 902 984 1056 1312 1353 1476 1584 1766 1804 1968 2649 2706 2952 3168 3532 3608 3936 4059 5298 5412 5904 7064 7216 7947 8118 9713 10596 10824 11808 14128 14432 15894 16236 19426 21192 21648 28256 29139 31788 32472 36203 38852 42384 43296 58278 63576 64944 72406 77704 84768 87417 108609 116556 127152 129888 144812 155408 174834 217218 233112 254304 289624 310816 325827 349668 398233 434436 466224 579248 651654 699336 796466 868872 932448 1158496 1194699 1303308 1398672 1592932 1737744 2389398 2606616 2797344 3185864 3475488 3584097 4778796 5213232 6371728 7168194 9557592 10426464 12743456 14336388 19115184 28672776 38230368 57345552 114691104