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390070912 = 27711192083
BaseRepresentation
bin10111010000000…
…000001010000000
31000011222122200211
4113100000022000
51244324232122
6102412323504
712444355660
oct2720001200
91004878624
10390070912
11190204060
12aa773594
1362a760ba
1439b3c1a0
15243a1877
hex17400280

390070912 has 128 divisors (see below), whose sum is σ = 1020326400. Its totient is φ = 143907840.

The previous prime is 390070873. The next prime is 390070913. The reversal of 390070912 is 219070093.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (390070913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186223 + ... + 188305.

It is an arithmetic number, because the mean of its divisors is an integer number (7971300).

Almost surely, 2390070912 is an apocalyptic number.

390070912 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 390070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510163200).

390070912 is an abundant number, since it is smaller than the sum of its proper divisors (630255488).

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

390070912 is a wasteful number, since it uses less digits than its factorization.

390070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 390070912 is about 19750.2129608772. The cubic root of 390070912 is about 730.6586361973.

The spelling of 390070912 in words is "three hundred ninety million, seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 896 1064 1216 1232 1408 1463 1672 2083 2128 2432 2464 2926 3344 4166 4256 4928 5852 6688 8332 8512 9856 11704 13376 14581 16664 17024 22913 23408 26752 29162 33328 39577 45826 46816 58324 66656 79154 91652 93632 116648 133312 158308 160391 183304 187264 233296 266624 277039 316616 320782 366608 435347 466592 554078 633232 641564 733216 870694 933184 1108156 1266464 1283128 1466432 1741388 1866368 2216312 2532928 2566256 2932864 3047429 3482776 4432624 5065856 5132512 6094858 6965552 8865248 10265024 12189716 13931104 17730496 20530048 24379432 27862208 35460992 48758864 55724416 97517728 195035456 390070912