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390070272 = 222331
BaseRepresentation
bin10111010000000…
…000000000000000
31000011222121211010
4113100000000000
51244324222042
6102412320520
712444354054
oct2720000000
91004877733
10390070272
11190203629
12aa773140
1362a75a17
1439b3bc64
15243a159c
hex17400000

390070272 has 92 divisors (see below), whose sum is σ = 1073741696. Its totient is φ = 125829120.

The previous prime is 390070267. The next prime is 390070283. The reversal of 390070272 is 272070093.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12582897 + ... + 12582927.

Almost surely, 2390070272 is an apocalyptic number.

390070272 is a gapful number since it is divisible by the number (32) 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 390070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870848).

390070272 is an abundant number, since it is smaller than the sum of its proper divisors (683671424).

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

390070272 is an frugal number, since it uses more digits than its factorization.

390070272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 390070272 is about 19750.1967585136. The cubic root of 390070272 is about 730.6582365933.

The spelling of 390070272 in words is "three hundred ninety million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2048 2976 3072 3968 4096 5952 6144 7936 8192 11904 12288 15872 16384 23808 24576 31744 32768 47616 49152 63488 65536 95232 98304 126976 131072 190464 196608 253952 262144 380928 393216 507904 524288 761856 786432 1015808 1048576 1523712 1572864 2031616 2097152 3047424 3145728 4063232 4194304 6094848 6291456 8126464 12189696 12582912 16252928 24379392 32505856 48758784 65011712 97517568 130023424 195035136 390070272