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485290120 = 2357431163
BaseRepresentation
bin11100111011001…
…111000010001000
31020211011021220011
4130323033002020
51443213240440
6120053241304
715011620000
oct3473170210
91224137804
10485290120
11229a2a717
12116633234
1379704823
1448647000
152c90e9ea
hex1cecf088

485290120 has 160 divisors (see below), whose sum is σ = 1322968320. Its totient is φ = 160030080.

The previous prime is 485290093. The next prime is 485290121. The reversal of 485290120 is 21092584.

It is a super-2 number, since 2×4852901202 = 471013001139228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485290121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2977159 + ... + 2977321.

It is an arithmetic number, because the mean of its divisors is an integer number (8268552).

Almost surely, 2485290120 is an apocalyptic number.

485290120 is a gapful number since it is divisible by the number (40) 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 485290120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661484160).

485290120 is an abundant number, since it is smaller than the sum of its proper divisors (837678200).

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

485290120 is a wasteful number, since it uses less digits than its factorization.

485290120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 485290120 is about 22029.3013960952. The cubic root of 485290120 is about 785.8394309282.

The spelling of 485290120 in words is "four hundred eighty-five million, two hundred ninety thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 163 196 217 245 248 280 310 326 343 392 434 490 620 652 686 815 868 980 1085 1141 1240 1304 1372 1519 1630 1715 1736 1960 2170 2282 2401 2744 3038 3260 3430 4340 4564 4802 5053 5705 6076 6520 6860 7595 7987 8680 9128 9604 10106 10633 11410 12005 12152 13720 15190 15974 19208 20212 21266 22820 24010 25265 30380 31948 35371 39935 40424 42532 45640 48020 50530 53165 55909 60760 63896 70742 74431 79870 85064 96040 101060 106330 111818 141484 148862 159740 176855 202120 212660 223636 247597 279545 282968 297724 319480 353710 372155 391363 425320 447272 495194 559090 595448 707420 744310 782726 990388 1118180 1237985 1414840 1488620 1565452 1733179 1956815 1980776 2236360 2475970 2977240 3130904 3466358 3913630 4951940 6932716 7827260 8665895 9903880 12132253 13865432 15654520 17331790 24264506 34663580 48529012 60661265 69327160 97058024 121322530 242645060 485290120