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468070700 = 2252192310711
BaseRepresentation
bin11011111001100…
…011000100101100
31012121202110021212
4123321203010230
51424311230300
6114240213552
714412351416
oct3371430454
91177673255
10468070700
11220239499
1211090a2b8
1375c85c16
14462439b6
152b15c935
hex1be6312c

468070700 has 72 divisors (see below), whose sum is σ = 1115761920. Its totient is φ = 169646400.

The previous prime is 468070693. The next prime is 468070711. The reversal of 468070700 is 7070864.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38345 + ... + 49055.

Almost surely, 2468070700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468070700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557880960).

468070700 is an abundant number, since it is smaller than the sum of its proper divisors (647691220).

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

468070700 is a wasteful number, since it uses less digits than its factorization.

468070700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 468070700 is about 21634.9416454032. The cubic root of 468070700 is about 776.4327018709.

The spelling of 468070700 in words is "four hundred sixty-eight million, seventy thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 4370 8740 10711 10925 21422 21850 42844 43700 53555 107110 203509 214220 246353 267775 407018 492706 535550 814036 985412 1017545 1071100 1231765 2035090 2463530 4070180 4680707 4927060 5087725 6158825 9361414 10175450 12317650 18722828 20350900 23403535 24635300 46807070 93614140 117017675 234035350 468070700