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1374725040 = 243513499883
BaseRepresentation
bin101000111110000…
…1010001110110000
310112210210021020020
41101330022032300
510303412200130
6344225043440
746031653503
oct12174121660
93483707206
101374725040
11645aa62a7
12324486580
1318ba6c390
14d081313a
1580a50e10
hex51f0a3b0

1374725040 has 160 divisors (see below), whose sum is σ = 4603872000. Its totient is φ = 337333248.

The previous prime is 1374725021. The next prime is 1374725071. The reversal of 1374725040 is 405274731.

It is a junction number, because it is equal to n+sod(n) for n = 1374724992 and 1374725010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556439 + ... + 1557321.

It is an arithmetic number, because the mean of its divisors is an integer number (28774200).

Almost surely, 21374725040 is an apocalyptic number.

1374725040 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 1374725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301936000).

1374725040 is an abundant number, since it is smaller than the sum of its proper divisors (3229146960).

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

1374725040 is a wasteful number, since it uses less digits than its factorization.

1374725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 1374725040 is about 37077.2846902251. The cubic root of 1374725040 is about 1111.9159184566.

Adding to 1374725040 its reverse (405274731), we get a palindrome (1779999771).

The spelling of 1374725040 in words is "one billion, three hundred seventy-four million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 499 520 624 780 883 998 1040 1497 1560 1766 1996 2495 2649 2994 3120 3532 3992 4415 4990 5298 5988 6487 7064 7485 7984 8830 9980 10596 11479 11976 12974 13245 14128 14970 17660 19461 19960 21192 22958 23952 25948 26490 29940 32435 34437 35320 38922 39920 42384 45916 51896 52980 57395 59880 64870 68874 70640 77844 91832 97305 103792 105960 114790 119760 129740 137748 155688 172185 183664 194610 211920 229580 259480 275496 311376 344370 389220 440617 459160 518960 550992 688740 778440 881234 918320 1321851 1377480 1556880 1762468 2203085 2643702 2754960 3524936 4406170 5287404 5728021 6609255 7049872 8812340 10574808 11456042 13218510 17184063 17624680 21149616 22912084 26437020 28640105 34368126 35249360 45824168 52874040 57280210 68736252 85920315 91648336 105748080 114560420 137472504 171840630 229120840 274945008 343681260 458241680 687362520 1374725040