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1139892432 = 2437171971013
BaseRepresentation
bin100001111110001…
…0110000011010000
32221102220112110020
41003330112003100
54313303024212
6305035503440
740150632360
oct10374260320
92842815406
101139892432
11535492068
122798b7b80
1315220a583
14ab5649a0
156a115d8c
hex43f160d0

1139892432 has 160 divisors (see below), whose sum is σ = 3584984832. Its totient is φ = 304668672.

The previous prime is 1139892427. The next prime is 1139892463. The reversal of 1139892432 is 2342989311.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1124758 + ... + 1125770.

Almost surely, 21139892432 is an apocalyptic number.

1139892432 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 1139892432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792492416).

1139892432 is an abundant number, since it is smaller than the sum of its proper divisors (2445092400).

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

1139892432 is a wasteful number, since it uses less digits than its factorization.

1139892432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 1139892432 is about 33762.2930500877. The cubic root of 1139892432 is about 1044.6110689883.

The spelling of 1139892432 in words is "one billion, one hundred thirty-nine million, eight hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 197 204 238 272 336 357 394 408 476 591 714 788 816 952 1013 1182 1379 1428 1576 1904 2026 2364 2758 2856 3039 3152 3349 4052 4137 4728 5516 5712 6078 6698 7091 8104 8274 9456 10047 11032 12156 13396 14182 16208 16548 17221 20094 21273 22064 23443 24312 26792 28364 33096 34442 40188 42546 46886 48624 51663 53584 56728 66192 68884 70329 80376 85092 93772 103326 113456 120547 137768 140658 160752 170184 187544 199561 206652 241094 275536 281316 340368 361641 375088 399122 413304 482188 562632 598683 723282 798244 826608 964376 1125264 1197366 1396927 1446564 1596488 1928752 2394732 2793854 2893128 3192976 3392537 4190781 4789464 5587708 5786256 6785074 8381562 9578928 10177611 11175416 13570148 16763124 20355222 22350832 23747759 27140296 33526248 40710444 47495518 54280592 67052496 71243277 81420888 94991036 142486554 162841776 189982072 284973108 379964144 569946216 1139892432