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114675792 = 243711192371
BaseRepresentation
bin1101101010111…
…01000001010000
321222210010121120
412311131001100
5213324111132
615213522240
72561504520
oct665350120
9258703546
10114675792
1159805690
12324a3380
131a9b16ca
1411331680
15a10302c
hex6d5d050

114675792 has 320 divisors, whose sum is σ = 411402240. Its totient is φ = 26611200.

The previous prime is 114675767. The next prime is 114675809. The reversal of 114675792 is 297576411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1615117 + ... + 1615187.

It is an arithmetic number, because the mean of its divisors is an integer number (1285632).

Almost surely, 2114675792 is an apocalyptic number.

114675792 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 114675792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

114675792 is an abundant number, since it is smaller than the sum of its proper divisors (296726448).

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

114675792 is a wasteful number, since it uses less digits than its factorization.

114675792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 114675792 is about 10708.6783498245. The cubic root of 114675792 is about 485.8369959198.

The spelling of 114675792 in words is "one hundred fourteen million, six hundred seventy-five thousand, seven hundred ninety-two".