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468101640 = 23353900847
BaseRepresentation
bin11011111001101…
…010101000001000
31012121211000201210
4123321222220020
51424313223030
6114241013120
714412540546
oct3371525010
91177730653
10468101640
1122025a766
121109241a0
1375c97026
1446250d96
152b166bb0
hex1be6aa08

468101640 has 32 divisors (see below), whose sum is σ = 1404305280. Its totient is φ = 124827072.

The previous prime is 468101629. The next prime is 468101659. The reversal of 468101640 is 46101864.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 468101598 and 468101607.

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, 1950304 + ... + 1950543.

It is an arithmetic number, because the mean of its divisors is an integer number (43884540).

Almost surely, 2468101640 is an apocalyptic number.

468101640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468101640 is an abundant number, since it is smaller than the sum of its proper divisors (936203640).

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

468101640 is a wasteful number, since it uses less digits than its factorization.

468101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900861 (or 3900857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 468101640 is about 21635.6566805817. The cubic root of 468101640 is about 776.4498091857.

The spelling of 468101640 in words is "four hundred sixty-eight million, one hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3900847 7801694 11702541 15603388 19504235 23405082 31206776 39008470 46810164 58512705 78016940 93620328 117025410 156033880 234050820 468101640