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1139107872 = 253713712373
BaseRepresentation
bin100001111100101…
…0110100000100000
32221101102200020110
41003321112200200
54313102422442
6305011011320
740141154130
oct10371264040
92841380213
101139107872
11534aa6671
12279599b40
13151cc4436
14ab3dcac0
156a00d69c
hex43e56820

1139107872 has 96 divisors (see below), whose sum is σ = 3442545792. Its totient is φ = 323057664.

The previous prime is 1139107859. The next prime is 1139107877. The reversal of 1139107872 is 2787019311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1139107872.

It is not an unprimeable number, because it can be changed into a prime (1139107877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85878 + ... + 98250.

It is an arithmetic number, because the mean of its divisors is an integer number (35859852).

Almost surely, 21139107872 is an apocalyptic number.

1139107872 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 1139107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721272896).

1139107872 is an abundant number, since it is smaller than the sum of its proper divisors (2303437920).

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

1139107872 is a wasteful number, since it uses less digits than its factorization.

1139107872 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 21168, while the sum is 39.

The square root of 1139107872 is about 33750.6721710842. The cubic root of 1139107872 is about 1044.3713539248.

The spelling of 1139107872 in words is "one billion, one hundred thirty-nine million, one hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 7672 11508 12373 13152 15344 23016 24746 30688 37119 46032 49492 74238 86611 92064 98984 148476 173222 197968 259833 296952 346444 395936 519666 593904 692888 1039332 1187808 1385776 1695101 2078664 2771552 3390202 4157328 5085303 6780404 8314656 10170606 11865707 13560808 20341212 23731414 27121616 35597121 40682424 47462828 54243232 71194242 81364848 94925656 142388484 162729696 189851312 284776968 379702624 569553936 1139107872