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1139506992 = 2432131274793
BaseRepresentation
bin100001111101011…
…0111111100110000
32221102011221201200
41003322313330300
54313203210432
6305023331200
740144435551
oct10372677460
92842157650
101139506992
11535249518
12279750b00
13152103cc0
14ab4a4328
156a08ba7c
hex43eb7f30

1139506992 has 120 divisors (see below), whose sum is σ = 3462111744. Its totient is φ = 347784192.

The previous prime is 1139506939. The next prime is 1139506993. The reversal of 1139506992 is 2996059311.

It is a happy number.

1139506992 is a `hidden beast` number, since 1 + 139 + 506 + 9 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1139506993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235348 + ... + 240140.

Almost surely, 21139506992 is an apocalyptic number.

1139506992 is a gapful number since it is divisible by the number (12) 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 1139506992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731055872).

1139506992 is an abundant number, since it is smaller than the sum of its proper divisors (2322604752).

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

1139506992 is a wasteful number, since it uses less digits than its factorization.

1139506992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1139506992 is about 33756.5844243756. The cubic root of 1139506992 is about 1044.4933151051.

The spelling of 1139506992 in words is "one billion, one hundred thirty-nine million, five hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 508 624 762 936 1016 1143 1524 1651 1872 2032 2286 3048 3302 4572 4793 4953 6096 6604 9144 9586 9906 13208 14379 14859 18288 19172 19812 26416 28758 29718 38344 39624 43137 57516 59436 62309 76688 79248 86274 115032 118872 124618 172548 186927 230064 237744 249236 345096 373854 498472 560781 608711 690192 747708 996944 1121562 1217422 1495416 1826133 2243124 2434844 2990832 3652266 4486248 4869688 5478399 7304532 7913243 8972496 9739376 10956798 14609064 15826486 21913596 23739729 29218128 31652972 43827192 47479458 63305944 71219187 87654384 94958916 126611888 142438374 189917832 284876748 379835664 569753496 1139506992