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1372927140 = 22325131734513
BaseRepresentation
bin101000111010101…
…0011010010100100
310112200101220222100
41101311103102210
510302432132030
6344122332100
746010455014
oct12165232244
93480356870
101372927140
11644a88532
1232395a030
1318b58cc30
14d04a5c44
15807e8360
hex51d534a4

1372927140 has 144 divisors (see below), whose sum is σ = 4748850288. Its totient is φ = 318062592.

The previous prime is 1372927139. The next prime is 1372927147. The reversal of 1372927140 is 417292731.

It can be written as a sum of positive squares in 8 ways, for example, as 13972644 + 1358954496 = 3738^2 + 36864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1372927095 and 1372927104.

It is not an unprimeable number, because it can be changed into a prime (1372927147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22524 + ... + 57036.

It is an arithmetic number, because the mean of its divisors is an integer number (32978127).

Almost surely, 21372927140 is an apocalyptic number.

1372927140 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 1372927140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374425144).

1372927140 is an abundant number, since it is smaller than the sum of its proper divisors (3375923148).

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

1372927140 is a wasteful number, since it uses less digits than its factorization.

1372927140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34558 (or 34553 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1372927140 is about 37053.0314549296. The cubic root of 1372927140 is about 1111.4309764495.

The spelling of 1372927140 in words is "one billion, three hundred seventy-two million, nine hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 34513 39780 69026 103539 138052 172565 207078 310617 345130 414156 448669 517695 586721 621234 690260 897338 1035390 1173442 1242468 1346007 1553085 1760163 1794676 2070780 2243345 2346884 2692014 2933605 3106170 3520326 4038021 4486690 5280489 5384028 5867210 6212340 6730035 7040652 7627373 8076042 8800815 8973380 10560978 11734420 13460070 15254746 16152084 17601630 20190105 21121956 22882119 26402445 26920140 30509492 35203260 38136865 40380210 45764238 52804890 68646357 76273730 80760420 91528476 105609780 114410595 137292714 152547460 228821190 274585428 343231785 457642380 686463570 1372927140