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5464680 = 23351331113
BaseRepresentation
bin10100110110001001101000
3101021122010120
4110312021220
52344332210
6313043240
764310004
oct24661150
911248116
105464680
1130a2771
1219b6520
131194450
14a23704
1572e270
hex536268

5464680 has 128 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1290240.

The previous prime is 5464663. The next prime is 5464681. The reversal of 5464680 is 864645.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5464681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48304 + ... + 48416.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 25464680 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 5464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5464680 is an abundant number, since it is smaller than the sum of its proper divisors (12921240).

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

5464680 is a wasteful number, since it uses less digits than its factorization.

5464680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5464680 is about 2337.6655021624. The cubic root of 5464680 is about 176.1387507790.

The spelling of 5464680 in words is "five million, four hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 113 120 124 130 155 156 186 195 226 248 260 310 312 339 372 390 403 452 465 520 565 620 678 744 780 806 904 930 1130 1209 1240 1356 1469 1560 1612 1695 1860 2015 2260 2418 2712 2938 3224 3390 3503 3720 4030 4407 4520 4836 5876 6045 6780 7006 7345 8060 8814 9672 10509 11752 12090 13560 14012 14690 16120 17515 17628 21018 22035 24180 28024 29380 35030 35256 42036 44070 45539 48360 52545 58760 70060 84072 88140 91078 105090 136617 140120 176280 182156 210180 227695 273234 364312 420360 455390 546468 683085 910780 1092936 1366170 1821560 2732340 5464680