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114932720 = 2457205237
BaseRepresentation
bin1101101100110…
…11101111110000
322000021012001102
412312123233300
5213410321340
615223223532
72563624550
oct666335760
9260235042
10114932720
1159970721
12325a7ba8
131aa71636
141139b160
15a154215
hex6d9bbf0

114932720 has 40 divisors (see below), whose sum is σ = 305394144. Its totient is φ = 39405312.

The previous prime is 114932707. The next prime is 114932749. The reversal of 114932720 is 27239411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102059 + ... + 103178.

Almost surely, 2114932720 is an apocalyptic number.

114932720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114932720 is an abundant number, since it is smaller than the sum of its proper divisors (190461424).

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

114932720 is a wasteful number, since it uses less digits than its factorization.

114932720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205257 (or 205251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 114932720 is about 10720.6678896420. The cubic root of 114932720 is about 486.1995601510.

The spelling of 114932720 in words is "one hundred fourteen million, nine hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 205237 410474 820948 1026185 1436659 1641896 2052370 2873318 3283792 4104740 5746636 7183295 8209480 11493272 14366590 16418960 22986544 28733180 57466360 114932720