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45713460 = 223513103569
BaseRepresentation
bin1010111001100…
…0100000110100
310012000111002010
42232120200310
543200312320
64311444220
71063362252
oct256304064
9105014063
1045713460
1123893221
1213386670
1396172b0
1460dd5d2
15402eae0
hex2b98834

45713460 has 96 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 11123712.

The previous prime is 45713431. The next prime is 45713467. The reversal of 45713460 is 6431754.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45713467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80056 + ... + 80624.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 245713460 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 45713460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45713460 is an abundant number, since it is smaller than the sum of its proper divisors (93713100).

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

45713460 is a wasteful number, since it uses less digits than its factorization.

45713460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 45713460 is about 6761.1729751575. The cubic root of 45713460 is about 357.5592612080.

The spelling of 45713460 in words is "forty-five million, seven hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 569 618 780 1030 1138 1236 1339 1545 1707 2060 2276 2678 2845 3090 3414 4017 5356 5690 6180 6695 6828 7397 8034 8535 11380 13390 14794 16068 17070 20085 22191 26780 29588 34140 36985 40170 44382 58607 73970 80340 88764 110955 117214 147940 175821 221910 234428 293035 351642 443820 586070 703284 761891 879105 1172140 1523782 1758210 2285673 3047564 3516420 3809455 4571346 7618910 9142692 11428365 15237820 22856730 45713460