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114064552 = 23724367101
BaseRepresentation
bin1101100110001…
…11110010101000
321221122002011001
412303013302220
5213200031202
615152444344
72553350500
oct663076250
9257562131
10114064552
1159428428
12322496b4
131a829424
1411212a00
15a031d87
hex6cc7ca8

114064552 has 96 divisors (see below), whose sum is σ = 260932320. Its totient is φ = 46569600.

The previous prime is 114064547. The next prime is 114064579. The reversal of 114064552 is 255460411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114064552.

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, 1129302 + ... + 1129402.

It is an arithmetic number, because the mean of its divisors is an integer number (2718045).

Almost surely, 2114064552 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 114064552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130466160).

114064552 is an abundant number, since it is smaller than the sum of its proper divisors (146867768).

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

114064552 is a wasteful number, since it uses less digits than its factorization.

114064552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 114064552 is about 10680.1007485885. The cubic root of 114064552 is about 484.9722618493.

The spelling of 114064552 in words is "one hundred fourteen million, sixty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 67 86 98 101 134 172 196 202 268 301 344 392 404 469 536 602 707 808 938 1204 1414 1876 2107 2408 2828 2881 3283 3752 4214 4343 4949 5656 5762 6566 6767 8428 8686 9898 11524 13132 13534 16856 17372 19796 20167 23048 26264 27068 30401 34744 39592 40334 47369 54136 60802 80668 94738 121604 141169 161336 189476 212807 243208 282338 290981 331583 378952 425614 564676 581962 663166 851228 1129352 1163924 1326332 1702456 2036867 2327848 2652664 4073734 8147468 14258069 16294936 28516138 57032276 114064552