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1372468896 = 253279179337
BaseRepresentation
bin101000111001110…
…0011011010100000
310112122112122101100
41101303203122200
510302323001041
6344104434400
746003536021
oct12163433240
93478478340
101372468896
116447a5217
12323778a00
1318b45c496
14d03c6c48
15807576b6
hex51ce36a0

1372468896 has 144 divisors (see below), whose sum is σ = 3986236800. Its totient is φ = 447842304.

The previous prime is 1372468879. The next prime is 1372468897. The reversal of 1372468896 is 6988642731.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1372468897) 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, 4072440 + ... + 4072776.

It is an arithmetic number, because the mean of its divisors is an integer number (27682200).

Almost surely, 21372468896 is an apocalyptic number.

1372468896 is a gapful number since it is divisible by the number (16) 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 1372468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993118400).

1372468896 is an abundant number, since it is smaller than the sum of its proper divisors (2613767904).

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

1372468896 is a wasteful number, since it uses less digits than its factorization.

1372468896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1372468896 is about 37046.8473152575. The cubic root of 1372468896 is about 1111.3073080148.

The spelling of 1372468896 in words is "one billion, three hundred seventy-two million, four hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 179 237 288 316 337 358 474 537 632 674 711 716 948 1011 1074 1264 1348 1422 1432 1611 1896 2022 2148 2528 2696 2844 2864 3033 3222 3792 4044 4296 5392 5688 5728 6066 6444 7584 8088 8592 10784 11376 12132 12888 14141 16176 17184 22752 24264 25776 26623 28282 32352 42423 48528 51552 53246 56564 60323 79869 84846 97056 106492 113128 120646 127269 159738 169692 180969 212984 226256 239607 241292 254538 319476 339384 361938 425968 452512 479214 482584 509076 542907 638952 678768 723876 851936 958428 965168 1018152 1085814 1277904 1357536 1447752 1916856 1930336 2036304 2171628 2555808 2895504 3833712 4072608 4343256 4765517 5791008 7667424 8686512 9531034 14296551 17373024 19062068 28593102 38124136 42889653 57186204 76248272 85779306 114372408 152496544 171558612 228744816 343117224 457489632 686234448 1372468896