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977052132 = 22347430799
BaseRepresentation
bin111010001111001…
…010000111100100
32112002111101120000
4322033022013210
54000111132012
6240541341300
733132543330
oct7217120744
92462441500
10977052132
1146157a801
12233267830
13127564074
1493a967c0
155ab9bddc
hex3a3ca1e4

977052132 has 60 divisors (see below), whose sum is σ = 2919100800. Its totient is φ = 279157104.

The previous prime is 977052119. The next prime is 977052133. The reversal of 977052132 is 231250779.

977052132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (977052133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213132 + ... + 217667.

It is an arithmetic number, because the mean of its divisors is an integer number (48651680).

Almost surely, 2977052132 is an apocalyptic number.

It is an amenable number.

977052132 is an abundant number, since it is smaller than the sum of its proper divisors (1942048668).

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

977052132 is a wasteful number, since it uses less digits than its factorization.

977052132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430822 (or 430811 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 977052132 is about 31257.8331302731. The cubic root of 977052132 is about 992.2914414778.

The spelling of 977052132 in words is "nine hundred seventy-seven million, fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 430799 861598 1292397 1723196 2584794 3015593 3877191 5169588 6031186 7754382 9046779 11631573 12062372 15508764 18093558 23263146 27140337 34894719 36187116 46526292 54280674 69789438 81421011 108561348 139578876 162842022 244263033 325684044 488526066 977052132