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114272704 = 2672132803
BaseRepresentation
bin1101100111110…
…10100111000000
321222000122200101
412303322213000
5213223211304
615201132144
72555205400
oct663724700
9258018611
10114272704
115955a857
123232a054
131a8a00b0
1411268800
15a0738a4
hex6cfa9c0

114272704 has 84 divisors (see below), whose sum is σ = 284174184. Its totient is φ = 45190656.

The previous prime is 114272701. The next prime is 114272729. The reversal of 114272704 is 407272411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114272701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39367 + ... + 42169.

It is an arithmetic number, because the mean of its divisors is an integer number (3383026).

Almost surely, 2114272704 is an apocalyptic number.

114272704 is a gapful number since it is divisible by the number (14) 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 114272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142087092).

114272704 is an abundant number, since it is smaller than the sum of its proper divisors (169901480).

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

114272704 is a wasteful number, since it uses less digits than its factorization.

114272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 114272704 is about 10689.8411587825. The cubic root of 114272704 is about 485.2670849746.

The spelling of 114272704 in words is "one hundred fourteen million, two hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2803 2912 3136 5096 5606 5824 10192 11212 19621 20384 22424 36439 39242 40768 44848 72878 78484 89696 137347 145756 156968 179392 255073 274694 291512 313936 510146 549388 583024 627872 1020292 1098776 1166048 1255744 1785511 2040584 2197552 2332096 3571022 4081168 4395104 7142044 8162336 8790208 14284088 16324672 28568176 57136352 114272704