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490935120 = 243513157351
BaseRepresentation
bin11101010000110…
…001001101010000
31021012210002101020
4131100301031100
52001134410440
6120414235440
715110610504
oct3520611520
91235702336
10490935120
11232135905
121184b5b80
137a930070
14492b6304
152d1773d0
hex1d431350

490935120 has 80 divisors (see below), whose sum is σ = 1638978432. Its totient is φ = 120844800.

The previous prime is 490935101. The next prime is 490935143. The reversal of 490935120 is 21539094.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75556 + ... + 81795.

Almost surely, 2490935120 is an apocalyptic number.

490935120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490935120 is an abundant number, since it is smaller than the sum of its proper divisors (1148043312).

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

490935120 is a wasteful number, since it uses less digits than its factorization.

490935120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157380 (or 157374 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 490935120 is about 22157.0557610888. The cubic root of 490935120 is about 788.8747104360.

The spelling of 490935120 in words is "four hundred ninety million, nine hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 157351 314702 472053 629404 786755 944106 1258808 1573510 1888212 2045563 2360265 2517616 3147020 3776424 4091126 4720530 6136689 6294040 7552848 8182252 9441060 10227815 12273378 12588080 16364504 18882120 20455630 24546756 30683445 32729008 37764240 40911260 49093512 61366890 81822520 98187024 122733780 163645040 245467560 490935120