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114373152 = 25325359127
BaseRepresentation
bin1101101000100…
…11001000100000
321222012202110200
412310103020200
5213234420102
615203225200
72556104265
oct664231040
9258182420
10114373152
1159619273
1232378200
131a906a2a
141129326c
15a09351c
hex6d13220

114373152 has 144 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 36481536.

The previous prime is 114373139. The next prime is 114373199. The reversal of 114373152 is 251373411.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900513 + ... + 900639.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2114373152 is an apocalyptic number.

114373152 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 114373152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

114373152 is an abundant number, since it is smaller than the sum of its proper divisors (225282528).

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

114373152 is a wasteful number, since it uses less digits than its factorization.

114373152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 114373152 is about 10694.5384192119. The cubic root of 114373152 is about 485.4092298352.

It can be divided in two parts, 1143 and 73152, that multiplied together give a square (83612736 = 91442).

The spelling of 114373152 in words is "one hundred fourteen million, three hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 59 72 96 106 118 127 144 159 177 212 236 254 288 318 354 381 424 472 477 508 531 636 708 762 848 944 954 1016 1062 1143 1272 1416 1524 1696 1888 1908 2032 2124 2286 2544 2832 3048 3127 3816 4064 4248 4572 5088 5664 6096 6254 6731 7493 7632 8496 9144 9381 12192 12508 13462 14986 15264 16992 18288 18762 20193 22479 25016 26924 28143 29972 36576 37524 40386 44958 50032 53848 56286 59944 60579 67437 75048 80772 89916 100064 107696 112572 119888 121158 134874 150096 161544 179832 215392 225144 239776 242316 269748 300192 323088 359664 397129 450288 484632 539496 646176 719328 794258 900576 969264 1078992 1191387 1588516 1938528 2157984 2382774 3177032 3574161 4765548 6354064 7148322 9531096 12708128 14296644 19062192 28593288 38124384 57186576 114373152