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1401575940 = 2233521112301
BaseRepresentation
bin101001110001010…
…0101101000000100
310121200022102202000
41103202211220010
510332300412230
6351024345300
746506125142
oct12342455004
93550272660
101401575940
1165a175826
12331475230
131944b0b9b
14d4202592
15830a6b60
hex538a5a04

1401575940 has 96 divisors (see below), whose sum is σ = 4381480320. Its totient is φ = 371952000.

The previous prime is 1401575933. The next prime is 1401575941. The reversal of 1401575940 is 495751041.

1401575940 is a `hidden beast` number, since 1 + 40 + 1 + 575 + 9 + 40 = 666.

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 = 1401575895 and 1401575904.

It is not an unprimeable number, because it can be changed into a prime (1401575941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107790 + ... + 120090.

It is an arithmetic number, because the mean of its divisors is an integer number (45640420).

Almost surely, 21401575940 is an apocalyptic number.

1401575940 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 1401575940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190740160).

1401575940 is an abundant number, since it is smaller than the sum of its proper divisors (2979904380).

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

1401575940 is a wasteful number, since it uses less digits than its factorization.

1401575940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1401575940 is about 37437.6273286649. The cubic root of 1401575940 is about 1119.1085434029.

The spelling of 1401575940 in words is "one billion, four hundred one million, five hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 1055 1266 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12301 12660 18990 22788 24602 28485 36903 37980 49204 56970 61505 73806 110709 113940 123010 147612 184515 221418 246020 332127 369030 442836 553545 664254 738060 1107090 1328508 1660635 2214180 2595511 3321270 5191022 6642540 7786533 10382044 12977555 15573066 23359599 25955110 31146132 38932665 46719198 51910220 70078797 77865330 93438396 116797995 140157594 155730660 233595990 280315188 350393985 467191980 700787970 1401575940