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1380815072 = 257131727893
BaseRepresentation
bin101001001001101…
…1001000011100000
310120020020200011222
41102103121003200
510311442040242
6345003354212
746134506630
oct12223310340
93506220158
101380815072
1164948588a
12326522968
131900c2350
14d155a6c0
15813555d2
hex524d90e0

1380815072 has 96 divisors (see below), whose sum is σ = 3542761152. Its totient is φ = 514105344.

The previous prime is 1380815071. The next prime is 1380815081. The reversal of 1380815072 is 2705180831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380815071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35558 + ... + 63450.

It is an arithmetic number, because the mean of its divisors is an integer number (36903762).

Almost surely, 21380815072 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 1380815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771380576).

1380815072 is an abundant number, since it is smaller than the sum of its proper divisors (2161946080).

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

1380815072 is a wasteful number, since it uses less digits than its factorization.

1380815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27940 (or 27932 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1380815072 is about 37159.3201229517. The cubic root of 1380815072 is about 1113.5554290166. Note that the first 3 decimals are identical.

The spelling of 1380815072 in words is "one billion, three hundred eighty million, eight hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 12376 24752 27893 49504 55786 111572 195251 223144 362609 390502 446288 474181 725218 781004 892576 948362 1450436 1562008 1896724 2538263 2900872 3124016 3319267 3793448 5076526 5801744 6164353 6248032 6638534 7586896 10153052 11603488 12328706 13277068 15173792 20306104 24657412 26554136 40612208 43150471 49314824 53108272 81224416 86300942 98629648 106216544 172601884 197259296 345203768 690407536 1380815072