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1139032420 = 225293753077
BaseRepresentation
bin100001111100100…
…0100000101100100
32221101021211201221
41003321010011210
54313043014140
6305005230124
740140421141
oct10371040544
92841254657
101139032420
11534a54a09
12279562344
13151c98ca6
14ab3bd3c8
1569ee614a
hex43e44164

1139032420 has 48 divisors (see below), whose sum is σ = 2541374640. Its totient is φ = 428004864.

The previous prime is 1139032417. The next prime is 1139032421. The reversal of 1139032420 is 242309311.

It can be written as a sum of positive squares in 8 ways, for example, as 26543104 + 1112489316 = 5152^2 + 33354^2 .

It is a super-3 number, since 3×11390324203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1139032421) 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, 5079 + ... + 47998.

It is an arithmetic number, because the mean of its divisors is an integer number (52945305).

Almost surely, 21139032420 is an apocalyptic number.

1139032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1139032420 is an abundant number, since it is smaller than the sum of its proper divisors (1402342220).

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

1139032420 is a wasteful number, since it uses less digits than its factorization.

1139032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53152 (or 53150 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1139032420 is about 33749.5543674283. The cubic root of 1139032420 is about 1044.3482944619.

The spelling of 1139032420 in words is "one billion, one hundred thirty-nine million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 10730 21460 53077 106154 212308 265385 530770 1061540 1539233 1963849 3078466 3927698 6156932 7696165 7855396 9819245 15392330 19638490 30784660 39276980 56951621 113903242 227806484 284758105 569516210 1139032420