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1380515808 = 25372319467
BaseRepresentation
bin101001001001000…
…1111111111100000
310120012200110200010
41102102033333200
510311403001213
6344553124520
746132122300
oct12222177740
93505613603
101380515808
116492a0a61
123263b9740
13190019079
14d14bd600
15812e6ac3
hex5248ffe0

1380515808 has 144 divisors (see below), whose sum is σ = 4351947264. Its totient is φ = 381669120.

The previous prime is 1380515803. The next prime is 1380515809. The reversal of 1380515808 is 8085150831.

It is a super-2 number, since 2×13805158082 = 3811647792275785728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380515803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141091 + ... + 150557.

It is an arithmetic number, because the mean of its divisors is an integer number (30221856).

Almost surely, 21380515808 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 1380515808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175973632).

1380515808 is an abundant number, since it is smaller than the sum of its proper divisors (2971431456).

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

1380515808 is a wasteful number, since it uses less digits than its factorization.

1380515808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 1380515808 is about 37155.2931357028. The cubic root of 1380515808 is about 1113.4749762617.

The spelling of 1380515808 in words is "one billion, three hundred eighty million, five hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 9467 10416 12152 18228 18934 20832 24304 28401 36456 37868 48608 56802 66269 72912 75736 113604 132538 145824 151472 198807 227208 265076 293477 302944 397614 454416 463883 530152 586954 795228 880431 908832 927766 1060304 1173908 1391649 1590456 1760862 1855532 2054339 2120608 2347816 2783298 3180912 3521724 3711064 4108678 4695632 5566596 6163017 6361824 7043448 7422128 8217356 9391264 11133192 12326034 14086896 14380373 14844256 16434712 22266384 24652068 28173792 28760746 32869424 43141119 44532768 49304136 57521492 65738848 86282238 98608272 115042984 172564476 197216544 230085968 345128952 460171936 690257904 1380515808