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114053880 = 23355379227
BaseRepresentation
bin1101100110001…
…01001011111000
321221121112111210
412303011023320
5213144211010
615152323120
72553304413
oct663051370
9257545453
10114053880
1159420406
12322434a0
131a824605
141120cb7a
15a02db20
hex6cc52f8

114053880 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 29332992.

The previous prime is 114053879. The next prime is 114053887. The reversal of 114053880 is 88350411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114053887) 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, 502327 + ... + 502553.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2114053880 is an apocalyptic number.

114053880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114053880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

114053880 is an abundant number, since it is smaller than the sum of its proper divisors (240531720).

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

114053880 is a wasteful number, since it uses less digits than its factorization.

114053880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114053880 is about 10679.6011161466. The cubic root of 114053880 is about 484.9571365386.

The spelling of 114053880 in words is "one hundred fourteen million, fifty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 79 106 120 158 159 212 227 237 265 316 318 395 424 454 474 530 632 636 681 790 795 908 948 1060 1135 1185 1272 1362 1580 1590 1816 1896 2120 2270 2370 2724 3160 3180 3405 4187 4540 4740 5448 6360 6810 8374 9080 9480 12031 12561 13620 16748 17933 20935 24062 25122 27240 33496 35866 36093 41870 48124 50244 53799 60155 62805 71732 72186 83740 89665 96248 100488 107598 120310 125610 143464 144372 167480 179330 180465 215196 240620 251220 268995 288744 358660 360930 430392 481240 502440 537990 717320 721860 950449 1075980 1443720 1900898 2151960 2851347 3801796 4752245 5702694 7603592 9504490 11405388 14256735 19008980 22810776 28513470 38017960 57026940 114053880