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652080 = 2435111319
BaseRepresentation
bin10011111001100110000
31020010111010
42133030300
5131331310
621550520
75354052
oct2371460
91203433
10652080
11405a10
12275440
1319aa60
1412d8d2
15cd320
hex9f330

652080 has 160 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 138240.

The previous prime is 652079. The next prime is 652081. The reversal of 652080 is 80256.

It is a happy number.

652080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (652079) and next prime (652081).

It is not an unprimeable number, because it can be changed into a prime (652081) 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, 34311 + ... + 34329.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2652080 is an apocalyptic number.

652080 is a gapful number since it is divisible by the number (60) 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 652080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

652080 is an abundant number, since it is smaller than the sum of its proper divisors (1847760).

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

652080 is a wasteful number, since it uses less digits than its factorization.

652080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 652080 is about 807.5147057484. The cubic root of 652080 is about 86.7162109881.

It can be divided in two parts, 65 and 2080, that added together give a triangular number (2145 = T65).

The spelling of 652080 in words is "six hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 33 38 39 40 44 48 52 55 57 60 65 66 76 78 80 88 95 104 110 114 120 130 132 143 152 156 165 176 190 195 208 209 220 228 240 247 260 264 285 286 304 312 330 380 390 418 429 440 456 494 520 528 570 572 624 627 660 715 741 760 780 836 858 880 912 988 1040 1045 1140 1144 1235 1254 1320 1430 1482 1520 1560 1672 1716 1976 2090 2145 2280 2288 2470 2508 2640 2717 2860 2964 3120 3135 3344 3432 3705 3952 4180 4290 4560 4940 5016 5434 5720 5928 6270 6864 7410 8151 8360 8580 9880 10032 10868 11440 11856 12540 13585 14820 16302 16720 17160 19760 21736 25080 27170 29640 32604 34320 40755 43472 50160 54340 59280 65208 81510 108680 130416 163020 217360 326040 652080