Search a number
-
+
390104672 = 25711031667
BaseRepresentation
bin10111010000001…
…000011001100000
31000012001101000012
4113100020121200
51244331322142
6102413144052
712444556256
oct2720103140
91005041005
10390104672
11190227461
12aa78b028
1362a88589
1439b4a5d6
15243ab882
hex17408660

390104672 has 48 divisors (see below), whose sum is σ = 786868992. Its totient is φ = 190323840.

The previous prime is 390104657. The next prime is 390104683. The reversal of 390104672 is 276401093.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 233183 + ... + 234849.

It is an arithmetic number, because the mean of its divisors is an integer number (16393104).

Almost surely, 2390104672 is an apocalyptic number.

390104672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390104672 is an abundant number, since it is smaller than the sum of its proper divisors (396764320).

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

390104672 is a wasteful number, since it uses less digits than its factorization.

390104672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 390104672 is about 19751.0676167138. The cubic root of 390104672 is about 730.6797146929.

The spelling of 390104672 in words is "three hundred ninety million, one hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 71 103 142 206 284 412 568 824 1136 1648 1667 2272 3296 3334 6668 7313 13336 14626 26672 29252 53344 58504 117008 118357 171701 234016 236714 343402 473428 686804 946856 1373608 1893712 2747216 3787424 5494432 12190771 24381542 48763084 97526168 195052336 390104672