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5162640 = 243572439
BaseRepresentation
bin10011101100011010010000
3100201021210220
4103230122100
52310201030
6302353040
761611300
oct23543220
910637726
105162640
112a0684a
12188b780
1310b9b22
14985600
156bea10
hex4ec690

5162640 has 120 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 1177344.

The previous prime is 5162627. The next prime is 5162653. The reversal of 5162640 is 462615.

It is an interprime number because it is at equal distance from previous prime (5162627) and next prime (5162653).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5162640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11541 + ... + 11979.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 25162640 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 5162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

5162640 is an abundant number, since it is smaller than the sum of its proper divisors (13496880).

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

5162640 is a wasteful number, since it uses less digits than its factorization.

5162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5162640 is about 2272.1443616109. The cubic root of 5162640 is about 172.8319171153.

The spelling of 5162640 in words is "five million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 439 490 560 588 735 784 840 878 980 1176 1317 1470 1680 1756 1960 2195 2352 2634 2940 3073 3512 3920 4390 5268 5880 6146 6585 7024 8780 9219 10536 11760 12292 13170 15365 17560 18438 21072 21511 24584 26340 30730 35120 36876 43022 46095 49168 52680 61460 64533 73752 86044 92190 105360 107555 122920 129066 147504 172088 184380 215110 245840 258132 322665 344176 368760 430220 516264 645330 737520 860440 1032528 1290660 1720880 2581320 5162640