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1146132 = 2232133179
BaseRepresentation
bin100010111110100010100
32011020012100
410113310110
5243134012
640322100
712512331
oct4276424
92136170
101146132
11713119
12473330
133118b0
1421b988
151798dc
hex117d14

1146132 has 72 divisors (see below), whose sum is σ = 3261440. Its totient is φ = 336960.

The previous prime is 1146097. The next prime is 1146133. The reversal of 1146132 is 2316411.

It is a happy number.

It is a super-2 number, since 2×11461322 = 2627237122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146133) 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, 14469 + ... + 14547.

21146132 is an apocalyptic number.

1146132 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 1146132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630720).

1146132 is an abundant number, since it is smaller than the sum of its proper divisors (2115308).

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

1146132 is a wasteful number, since it uses less digits than its factorization.

1146132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1146132 is about 1070.5755461433. The cubic root of 1146132 is about 104.6513606749.

The spelling of 1146132 in words is "one million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 79 93 117 124 156 158 186 234 237 279 316 372 403 468 474 558 711 806 948 1027 1116 1209 1422 1612 2054 2418 2449 2844 3081 3627 4108 4836 4898 6162 7254 7347 9243 9796 12324 14508 14694 18486 22041 29388 31837 36972 44082 63674 88164 95511 127348 191022 286533 382044 573066 1146132