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114416874 = 23411213449
BaseRepresentation
bin1101101000111…
…01110011101010
321222021222110000
412310131303222
5213242314444
615204203430
72556345615
oct664356352
9258258400
10114416874
1159649100
1232399576
131a9208c0
14112a517c
15a0a1469
hex6d1dcea

114416874 has 120 divisors (see below), whose sum is σ = 304157700. Its totient is φ = 31933440.

The previous prime is 114416867. The next prime is 114416891. The reversal of 114416874 is 478614411.

It can be written as a sum of positive squares in 2 ways, for example, as 112211649 + 2205225 = 10593^2 + 1485^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 254602 + ... + 255050.

Almost surely, 2114416874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114416874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152078850).

114416874 is an abundant number, since it is smaller than the sum of its proper divisors (189740826).

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

114416874 is a wasteful number, since it uses less digits than its factorization.

114416874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114416874 is about 10696.5823513868. The cubic root of 114416874 is about 485.4710752311.

The spelling of 114416874 in words is "one hundred fourteen million, four hundred sixteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 121 143 162 198 234 242 286 297 351 363 429 449 594 702 726 858 891 898 1053 1089 1287 1347 1573 1782 2106 2178 2574 2694 3146 3267 3861 4041 4719 4939 5837 6534 7722 8082 9438 9801 9878 11583 11674 12123 14157 14817 17511 19602 23166 24246 28314 29634 35022 36369 42471 44451 52533 54329 64207 72738 84942 88902 105066 108658 127413 128414 133353 157599 162987 192621 254826 266706 315198 325974 385242 400059 472797 488961 577863 706277 800118 945594 977922 1155726 1412554 1466883 1733589 2118831 2933766 3467178 4237662 4400649 5200767 6356493 8801298 10401534 12712986 19069479 38138958 57208437 114416874