Search a number
-
+
275270760 = 23325799679
BaseRepresentation
bin10000011010000…
…100110001101000
3201011222012111100
4100122010301220
51030432131020
643152001400
76551522442
oct2032046150
9634865440
10275270760
11131423aa6
1278230260
134504cc0b
14287b7492
1519276a90
hex10684c68

275270760 has 96 divisors (see below), whose sum is σ = 906048000. Its totient is φ = 72468864.

The previous prime is 275270719. The next prime is 275270767. The reversal of 275270760 is 67072572.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (275270767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23601 + ... + 33279.

It is an arithmetic number, because the mean of its divisors is an integer number (9438000).

Almost surely, 2275270760 is an apocalyptic number.

275270760 is a gapful number since it is divisible by the number (20) 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 275270760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453024000).

275270760 is an abundant number, since it is smaller than the sum of its proper divisors (630777240).

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

275270760 is a wasteful number, since it uses less digits than its factorization.

275270760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 275270760 is about 16591.2856644686. The cubic root of 275270760 is about 650.5090765351.

The spelling of 275270760 in words is "two hundred seventy-five million, two hundred seventy thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 9679 14220 19358 28440 29037 38716 48395 58074 77432 87111 96790 116148 145185 174222 193580 232296 290370 348444 387160 435555 580740 696888 764641 871110 1161480 1529282 1742220 2293923 3058564 3484440 3823205 4587846 6117128 6881769 7646410 9175692 11469615 13763538 15292820 18351384 22939230 27527076 30585640 34408845 45878460 55054152 68817690 91756920 137635380 275270760