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470392680 = 233513928201
BaseRepresentation
bin11100000010011…
…001111101101000
31012210010102110010
4130002121331220
51430410031210
6114402051520
714441162142
oct3402317550
91183112403
10470392680
11221584a8a
12111649ba0
13765b9a84
1446689c92
152b46a920
hex1c099f68

470392680 has 64 divisors (see below), whose sum is σ = 1421380800. Its totient is φ = 124531200.

The previous prime is 470392607. The next prime is 470392691. The reversal of 470392680 is 86293074.

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, 2580 + ... + 30780.

It is an arithmetic number, because the mean of its divisors is an integer number (22209075).

Almost surely, 2470392680 is an apocalyptic number.

470392680 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 470392680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710690400).

470392680 is an abundant number, since it is smaller than the sum of its proper divisors (950988120).

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

470392680 is a wasteful number, since it uses less digits than its factorization.

470392680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28354 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 470392680 is about 21688.5379866878. The cubic root of 470392680 is about 777.7144798979.

The spelling of 470392680 in words is "four hundred seventy million, three hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 28201 56402 84603 112804 141005 169206 225608 282010 338412 423015 564020 676824 846030 1128040 1692060 3384120 3919939 7839878 11759817 15679756 19599695 23519634 31359512 39199390 47039268 58799085 78398780 94078536 117598170 156797560 235196340 470392680