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114157472 = 251113219101
BaseRepresentation
bin1101100110111…
…10011110100000
321221210210121112
412303132132200
5213211014342
615154442452
72554215422
oct663363640
9257723545
10114157472
1159491220
1232293428
131a85c800
1411238812
15a04e682
hex6cde7a0

114157472 has 144 divisors (see below), whose sum is σ = 282229920. Its totient is φ = 44928000.

The previous prime is 114157471. The next prime is 114157559. The reversal of 114157472 is 274751411.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114157471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130222 + ... + 1130322.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2114157472 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 114157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141114960).

114157472 is an abundant number, since it is smaller than the sum of its proper divisors (168072448).

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

114157472 is a wasteful number, since it uses less digits than its factorization.

114157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its digits is 7840, while the sum is 32.

The square root of 114157472 is about 10684.4500092424. The cubic root of 114157472 is about 485.1039165152.

The spelling of 114157472 in words is "one hundred fourteen million, one hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 101 104 143 152 169 176 202 208 209 247 286 304 338 352 404 416 418 494 572 608 676 808 836 988 1111 1144 1313 1352 1616 1672 1859 1919 1976 2222 2288 2626 2704 2717 3211 3232 3344 3718 3838 3952 4444 4576 5252 5408 5434 6422 6688 7436 7676 7904 8888 10504 10868 12844 14443 14872 15352 17069 17776 21008 21109 21736 24947 25688 28886 29744 30704 34138 35321 35552 42016 42218 43472 49894 51376 57772 59488 61408 68276 70642 84436 86944 99788 102752 115544 136552 141284 168872 187759 199576 231088 273104 274417 282568 324311 337744 375518 399152 462176 546208 548834 565136 648622 675488 751036 798304 1097668 1130272 1297244 1502072 2195336 2594488 3004144 3567421 4390672 5188976 6008288 7134842 8781344 10377952 14269684 28539368 57078736 114157472