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1375540100 = 2252112791439
BaseRepresentation
bin101000111111101…
…0001001110000100
310112212022200021122
41101333101032010
510304114240400
6344254333112
746041616664
oct12177211604
93485280248
101375540100
11646502700
123247ba198
1318bc9636c
14d09861a4
1580b62685
hex51fd1384

1375540100 has 108 divisors (see below), whose sum is σ = 3324787200. Its totient is φ = 493521600.

The previous prime is 1375540069. The next prime is 1375540141. The reversal of 1375540100 is 10455731.

It is a super-2 number, since 2×13755401002 = 3784221133416020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1375540100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 955181 + ... + 956619.

Almost surely, 21375540100 is an apocalyptic number.

1375540100 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 1375540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662393600).

1375540100 is an abundant number, since it is smaller than the sum of its proper divisors (1949247100).

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

1375540100 is a wasteful number, since it uses less digits than its factorization.

1375540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 1375540100 is about 37088.2744273712. The cubic root of 1375540100 is about 1112.1356227886.

Adding to 1375540100 its reverse (10455731), we get a palindrome (1385995831).

The spelling of 1375540100 in words is "one billion, three hundred seventy-five million, five hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 121 158 220 242 275 316 395 484 550 605 790 869 1100 1210 1439 1580 1738 1975 2420 2878 3025 3476 3950 4345 5756 6050 7195 7900 8690 9559 12100 14390 15829 17380 19118 21725 28780 31658 35975 38236 43450 47795 63316 71950 79145 86900 95590 113681 143900 158290 174119 191180 227362 238975 316580 348238 395725 454724 477950 568405 696476 791450 870595 955900 1136810 1250491 1582900 1741190 2273620 2500982 2842025 3482380 4352975 5001964 5684050 6252455 8705950 11368100 12504910 13755401 17411900 25009820 27510802 31262275 55021604 62524550 68777005 125049100 137554010 275108020 343885025 687770050 1375540100