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1374724992 = 27317251839
BaseRepresentation
bin101000111110000…
…1010001110000000
310112210210021011110
41101330022032000
510303412144432
6344225043320
746031653404
oct12174121600
93483707143
101374724992
11645aa6263
12324486540
1318ba6c354
14d0813104
1580a50dcc
hex51f0a380

1374724992 has 128 divisors (see below), whose sum is σ = 3886444800. Its totient is φ = 429056000.

The previous prime is 1374724991. The next prime is 1374725017. The reversal of 1374724992 is 2994274731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374724991) 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, 1638109 + ... + 1638947.

It is an arithmetic number, because the mean of its divisors is an integer number (30362850).

Almost surely, 21374724992 is an apocalyptic number.

1374724992 is a gapful number since it is divisible by the number (12) 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 1374724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943222400).

1374724992 is an abundant number, since it is smaller than the sum of its proper divisors (2511719808).

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

1374724992 is a wasteful number, since it uses less digits than its factorization.

1374724992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 1374724992 is about 37077.2840429285. The cubic root of 1374724992 is about 1111.9159055154.

The spelling of 1374724992 in words is "one billion, three hundred seventy-four million, seven hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 251 272 384 408 502 544 753 816 839 1004 1088 1506 1632 1678 2008 2176 2517 3012 3264 3356 4016 4267 5034 6024 6528 6712 8032 8534 10068 12048 12801 13424 14263 16064 17068 20136 24096 25602 26848 28526 32128 34136 40272 42789 48192 51204 53696 57052 68272 80544 85578 96384 102408 107392 114104 136544 161088 171156 204816 210589 228208 273088 322176 342312 409632 421178 456416 546176 631767 684624 819264 842356 912832 1263534 1369248 1638528 1684712 1825664 2527068 2738496 3369424 3580013 5054136 5476992 6738848 7160026 10108272 10740039 13477696 14320052 20216544 21480078 26955392 28640104 40433088 42960156 57280208 80866176 85920312 114560416 171840624 229120832 343681248 458241664 687362496 1374724992