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114938460 = 223357132339
BaseRepresentation
bin1101101100111…
…01001001011100
322000021110221000
412312131021130
5213411012320
615223310300
72563650360
oct666351134
9260243830
10114938460
1159974a6a
12325ab390
131aa74130
141139d2a0
15a155c90
hex6d9d25c

114938460 has 192 divisors, whose sum is σ = 440294400. Its totient is φ = 24240384.

The previous prime is 114938459. The next prime is 114938477. The reversal of 114938460 is 64839411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47971 + ... + 50309.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2114938460 is an apocalyptic number.

114938460 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 114938460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

114938460 is an abundant number, since it is smaller than the sum of its proper divisors (325355940).

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

114938460 is a wasteful number, since it uses less digits than its factorization.

114938460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114938460 is about 10720.9355935012. The cubic root of 114938460 is about 486.2076539849.

The spelling of 114938460 in words is "one hundred fourteen million, nine hundred thirty-eight thousand, four hundred sixty".