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1371696768 = 27341310177
BaseRepresentation
bin101000111000010…
…0110111010000000
310112121002102020000
41101300212322000
510302123244033
6344040120000
745664141641
oct12160467200
93477072200
101371696768
116443180a2
12323466000
1318b24bbc0
14d02656c8
1580653a13
hex51c26e80

1371696768 has 160 divisors (see below), whose sum is σ = 4396590660. Its totient is φ = 422019072.

The previous prime is 1371696749. The next prime is 1371696817. The reversal of 1371696768 is 8676961731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1353651264 + 18045504 = 36792^2 + 4248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129696 + ... + 139872.

Almost surely, 21371696768 is an apocalyptic number.

1371696768 is a gapful number since it is divisible by the number (18) 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 1371696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198295330).

1371696768 is an abundant number, since it is smaller than the sum of its proper divisors (3024893892).

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

1371696768 is a wasteful number, since it uses less digits than its factorization.

1371696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10195 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1371696768 is about 37036.4248814596. The cubic root of 1371696768 is about 1111.0988679658.

The spelling of 1371696768 in words is "one billion, three hundred seventy-one million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10177 10368 11232 14976 16848 20354 22464 30531 33696 40708 44928 61062 67392 81416 91593 122124 132301 134784 162832 183186 244248 264602 274779 325664 366372 396903 488496 529204 549558 651328 732744 793806 824337 976992 1058408 1099116 1190709 1302656 1465488 1587612 1648674 1953984 2116816 2198232 2381418 2930976 3175224 3297348 3572127 3907968 4233632 4396464 4762836 5861952 6350448 6594696 7144254 8467264 8792928 9525672 10716381 11723904 12700896 13189392 14288508 16934528 17585856 19051344 21432762 25401792 26378784 28577016 35171712 38102688 42865524 50803584 52757568 57154032 76205376 85731048 105515136 114308064 152410752 171462096 228616128 342924192 457232256 685848384 1371696768