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1374041360 = 24567389659
BaseRepresentation
bin101000111100110…
…0011010100010000
310112202111112101202
41101321203110100
510303223310420
6344202250332
746023105326
oct12171432420
93482445352
101374041360
1164567967a
123241b69a8
1318b890133
14d06b5d16
1580968575
hex51e63510

1374041360 has 80 divisors (see below), whose sum is σ = 3255595200. Its totient is φ = 539202048.

The previous prime is 1374041359. The next prime is 1374041369. The reversal of 1374041360 is 631404731.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1374041369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084711 + ... + 2085369.

It is an arithmetic number, because the mean of its divisors is an integer number (40694940).

Almost surely, 21374041360 is an apocalyptic number.

1374041360 is a gapful number since it is divisible by the number (10) 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 1374041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

1374041360 is an abundant number, since it is smaller than the sum of its proper divisors (1881553840).

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

1374041360 is a wasteful number, since it uses less digits than its factorization.

1374041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1374041360 is about 37068.0638825391. The cubic root of 1374041360 is about 1111.7315614135.

The spelling of 1374041360 in words is "one billion, three hundred seventy-four million, forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 389 536 659 670 778 1072 1318 1340 1556 1945 2636 2680 3112 3295 3890 5272 5360 6224 6590 7780 10544 13180 15560 26063 26360 31120 44153 52126 52720 88306 104252 130315 176612 208504 220765 256351 260630 353224 417008 441530 512702 521260 706448 883060 1025404 1042520 1281755 1766120 2050808 2085040 2563510 3532240 4101616 5127020 10254040 17175517 20508080 34351034 68702068 85877585 137404136 171755170 274808272 343510340 687020680 1374041360