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114734928 = 24371137839
BaseRepresentation
bin1101101011010…
…11011101010000
321222220010201210
412311223131100
5213333004203
615215100120
72562142110
oct665533520
9258803653
10114734928
1159846060
1232511640
131aa025b9
1411349040
15a115803
hex6d6b750

114734928 has 160 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 28961280.

The previous prime is 114734911. The next prime is 114734929. The reversal of 114734928 is 829437411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114734929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136333 + ... + 137171.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2114734928 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 114734928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

114734928 is an abundant number, since it is smaller than the sum of its proper divisors (265240752).

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

114734928 is a wasteful number, since it uses less digits than its factorization.

114734928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 114734928 is about 10711.4391189980. The cubic root of 114734928 is about 485.9204936918.

The spelling of 114734928 in words is "one hundred fourteen million, seven hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 37 42 44 48 56 66 74 77 84 88 111 112 132 148 154 168 176 222 231 259 264 296 308 336 407 444 462 518 528 592 616 777 814 839 888 924 1036 1221 1232 1554 1628 1678 1776 1848 2072 2442 2517 2849 3108 3256 3356 3696 4144 4884 5034 5698 5873 6216 6512 6712 8547 9229 9768 10068 11396 11746 12432 13424 17094 17619 18458 19536 20136 22792 23492 27687 31043 34188 35238 36916 40272 45584 46984 55374 62086 64603 68376 70476 73832 93129 93968 110748 124172 129206 136752 140952 147664 186258 193809 217301 221496 248344 258412 281904 341473 372516 387618 434602 442992 496688 516824 651903 682946 745032 775236 869204 1024419 1033648 1303806 1365892 1490064 1550472 1738408 2048838 2390311 2607612 2731784 3100944 3476816 4097676 4780622 5215224 5463568 7170933 8195352 9561244 10430448 14341866 16390704 19122488 28683732 38244976 57367464 114734928