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714160032 = 25329713613
BaseRepresentation
bin101010100100010…
…011011110100000
31211202211002101120
4222210103132200
52430311110112
6154510532240
723461155135
oct5244233640
91752732346
10714160032
11337141003
1217b207080
13b4c59601
146abc258c
1542a6ce8c
hex2a9137a0

714160032 has 96 divisors (see below), whose sum is σ = 1967172480. Its totient is φ = 226544640.

The previous prime is 714159937. The next prime is 714160033. The reversal of 714160032 is 230061417.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 714159984 and 714160011.

It is not an unprimeable number, because it can be changed into a prime (714160033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195858 + ... + 199470.

It is an arithmetic number, because the mean of its divisors is an integer number (20491380).

Almost surely, 2714160032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983586240).

714160032 is an abundant number, since it is smaller than the sum of its proper divisors (1253012448).

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

714160032 is a wasteful number, since it uses less digits than its factorization.

714160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 714160032 is about 26723.7727875388. The cubic root of 714160032 is about 893.8511030294.

The spelling of 714160032 in words is "seven hundred fourteen million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 2059 2272 2784 3408 3613 4118 6177 6816 7226 8236 10839 12354 14452 16472 21678 24708 28904 32944 43356 49416 57808 65888 86712 98832 104777 115616 173424 197664 209554 256523 314331 346848 419108 513046 628662 769569 838216 1026092 1257324 1539138 1676432 2052184 2514648 3078276 3352864 4104368 5029296 6156552 7439167 8208736 10058592 12313104 14878334 22317501 24626208 29756668 44635002 59513336 89270004 119026672 178540008 238053344 357080016 714160032