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1940130288 = 243231613709
BaseRepresentation
bin111001110100100…
…0000100111110000
312000012200211102100
41303221000213300
512433133132123
6520303420400
766035556345
oct16351004760
95005624370
101940130288
11906175668
124618b4700
1324bc447b5
141459527cc
15b54d8643
hex73a409f0

1940130288 has 120 divisors (see below), whose sum is σ = 5621882240. Its totient is φ = 623946240.

The previous prime is 1940130277. The next prime is 1940130307. The reversal of 1940130288 is 8820310491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2736078 + ... + 2736786.

Almost surely, 21940130288 is an apocalyptic number.

1940130288 is a gapful number since it is divisible by the number (18) 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 1940130288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810941120).

1940130288 is an abundant number, since it is smaller than the sum of its proper divisors (3681751952).

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

1940130288 is a wasteful number, since it uses less digits than its factorization.

1940130288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1940130288 is about 44046.9100845905. The cubic root of 1940130288 is about 1247.2216238495.

The spelling of 1940130288 in words is "one billion, nine hundred forty million, one hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 613 709 744 1116 1226 1418 1488 1839 2127 2232 2452 2836 3678 4254 4464 4904 5517 5672 6381 7356 8508 9808 11034 11344 12762 14712 17016 19003 21979 22068 25524 29424 34032 38006 43958 44136 51048 57009 65937 76012 87916 88272 102096 114018 131874 152024 171027 175832 197811 228036 263748 304048 342054 351664 395622 434617 456072 527496 684108 791244 869234 912144 1054992 1303851 1368216 1582488 1738468 2607702 2736432 3164976 3476936 3911553 5215404 6953872 7823106 10430808 13473127 15646212 20861616 26946254 31292424 40419381 53892508 62584848 80838762 107785016 121258143 161677524 215570032 242516286 323355048 485032572 646710096 970065144 1940130288