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1131942132 = 223245176961
BaseRepresentation
bin100001101111000…
…0001000011110100
32220212221121200200
41003132001003310
54304234122012
6304153240500
740023230556
oct10336010364
92825847620
101131942132
11530a51972
12277103130
13150685959
14aa4954d6
15695953dc
hex437810f4

1131942132 has 36 divisors (see below), whose sum is σ = 2862342756. Its totient is φ = 377176320.

The previous prime is 1131942113. The next prime is 1131942167. The reversal of 1131942132 is 2312491311.

It can be written as a sum of positive squares in 2 ways, for example, as 334670436 + 797271696 = 18294^2 + 28236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1131942096 and 1131942105.

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 11 ways as a sum of consecutive naturals, for example, 159132 + ... + 166092.

It is an arithmetic number, because the mean of its divisors is an integer number (79509521).

Almost surely, 21131942132 is an apocalyptic number.

1131942132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131942132 is an abundant number, since it is smaller than the sum of its proper divisors (1730400624).

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

1131942132 is a wasteful number, since it uses less digits than its factorization.

1131942132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11483 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1131942132 is about 33644.3476976445. The cubic root of 1131942132 is about 1042.1768175103.

The spelling of 1131942132 in words is "one billion, one hundred thirty-one million, nine hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4517 6961 9034 13551 13922 18068 20883 27102 27844 40653 41766 54204 62649 81306 83532 125298 162612 250596 31442837 62885674 94328511 125771348 188657022 282985533 377314044 565971066 1131942132