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472507120 = 24528121019
BaseRepresentation
bin11100001010011…
…110001011110000
31012221002211220201
4130022132023300
51431430211440
6114515244544
714465146531
oct3412361360
91187084821
10472507120
11222799658
121122a9754
1376b7a317
1446a7a688
152b73719a
hex1c29e2f0

472507120 has 40 divisors (see below), whose sum is σ = 1102541040. Its totient is φ = 188321280.

The previous prime is 472507117. The next prime is 472507151. The reversal of 472507120 is 21705274.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11971 + ... + 32989.

It is an arithmetic number, because the mean of its divisors is an integer number (27563526).

Almost surely, 2472507120 is an apocalyptic number.

472507120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472507120 is an abundant number, since it is smaller than the sum of its proper divisors (630033920).

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

472507120 is a wasteful number, since it uses less digits than its factorization.

472507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 472507120 is about 21737.2288942266. The cubic root of 472507120 is about 778.8780274864.

The spelling of 472507120 in words is "four hundred seventy-two million, five hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 21019 22480 42038 84076 105095 168152 210190 336304 420380 840760 1681520 5906339 11812678 23625356 29531695 47250712 59063390 94501424 118126780 236253560 472507120