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114674952 = 23373197227
BaseRepresentation
bin1101101010111…
…00110100001000
321222210002110110
412311130310020
5213324044302
615213514320
72561502210
oct665346410
9258702413
10114674952
1159804a97
12324a29a0
131a9b1202
1411331240
15a102b6c
hex6d5cd08

114674952 has 128 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 31242240.

The previous prime is 114674939. The next prime is 114674957. The reversal of 114674952 is 259476411.

It is a self number, because there is not a number n which added to its sum of digits gives 114674952.

It is not an unprimeable number, because it can be changed into a prime (114674957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505063 + ... + 505289.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2114674952 is an apocalyptic number.

114674952 is a gapful number since it is divisible by the number (12) 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 114674952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

114674952 is an abundant number, since it is smaller than the sum of its proper divisors (228528888).

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

114674952 is a wasteful number, since it uses less digits than its factorization.

114674952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 114674952 is about 10708.6391292265. The cubic root of 114674952 is about 485.8358096651.

The spelling of 114674952 in words is "one hundred fourteen million, six hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 97 124 168 186 194 217 227 248 291 372 388 434 454 582 651 679 681 744 776 868 908 1164 1302 1358 1362 1589 1736 1816 2037 2328 2604 2716 2724 3007 3178 4074 4767 5208 5432 5448 6014 6356 7037 8148 9021 9534 12028 12712 14074 16296 18042 19068 21049 21111 22019 24056 28148 36084 38136 42098 42222 44038 49259 56296 63147 66057 72168 84196 84444 88076 98518 126294 132114 147777 154133 168392 168888 176152 197036 252588 264228 295554 308266 394072 462399 505176 528456 591108 616532 682589 924798 1182216 1233064 1365178 1849596 2047767 2730356 3699192 4095534 4778123 5460712 8191068 9556246 14334369 16382136 19112492 28668738 38224984 57337476 114674952