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114925440 = 2735717503
BaseRepresentation
bin1101101100110…
…01111110000000
322000020211001210
412312121332000
5213410103230
615223130120
72563564410
oct666317600
9260224053
10114925440
1159966203
12325a3940
131aa6b226
1411398640
15a151eb0
hex6d99f80

114925440 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 24674304.

The previous prime is 114925427. The next prime is 114925483. The reversal of 114925440 is 44529411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114925398 and 114925407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228229 + ... + 228731.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2114925440 is an apocalyptic number.

114925440 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 114925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

114925440 is an abundant number, since it is smaller than the sum of its proper divisors (329239680).

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

114925440 is a wasteful number, since it uses less digits than its factorization.

114925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 114925440 is about 10720.3283531802. The cubic root of 114925440 is about 486.1892944131.

The spelling of 114925440 in words is "one hundred fourteen million, nine hundred twenty-five thousand, four hundred forty".