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1377961104 = 243132374591
BaseRepresentation
bin101001000100010…
…0000010010010000
310120000212200021110
41102020200102100
510310224223404
6344422253320
746101322212
oct12210402220
93500780243
101377961104
11647906633
12325587240
1318c633300
14d10165b2
1580e8eb89
hex52220490

1377961104 has 120 divisors (see below), whose sum is σ = 3959663232. Its totient is φ = 412439040.

The previous prime is 1377961093. The next prime is 1377961157. The reversal of 1377961104 is 4011697731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297849 + ... + 302439.

Almost surely, 21377961104 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 1377961104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979831616).

1377961104 is an abundant number, since it is smaller than the sum of its proper divisors (2581702128).

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

1377961104 is a wasteful number, since it uses less digits than its factorization.

1377961104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1377961104 is about 37120.8984805056. The cubic root of 1377961104 is about 1112.7877076698.

The spelling of 1377961104 in words is "one billion, three hundred seventy-seven million, nine hundred sixty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 888 962 1014 1352 1443 1776 1924 2028 2704 2886 3848 4056 4591 5772 6253 7696 8112 9182 11544 12506 13773 18364 18759 23088 25012 27546 36728 37518 50024 55092 59683 73456 75036 100048 110184 119366 150072 169867 179049 220368 238732 300144 339734 358098 477464 509601 679468 716196 775879 954928 1019202 1358936 1432392 1551758 2038404 2208271 2327637 2717872 2864784 3103516 4076808 4416542 4655274 6207032 6624813 8153616 8833084 9310548 12414064 13249626 17666168 18621096 26499252 28707523 35332336 37242192 52998504 57415046 86122569 105997008 114830092 172245138 229660184 344490276 459320368 688980552 1377961104