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977971140 = 2232541912967
BaseRepresentation
bin111010010010101…
…010011111000100
32112011020002012100
4322102222133010
54000330034030
6241013152100
733143421546
oct7222523704
92464202170
10977971140
11462048213
1223362b630
131277c6463
1493c55696
155acce360
hex3a4aa7c4

977971140 has 72 divisors (see below), whose sum is σ = 2973821760. Its totient is φ = 260149824.

The previous prime is 977971139. The next prime is 977971151. The reversal of 977971140 is 41179779.

977971140 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68937 + ... + 81903.

It is an arithmetic number, because the mean of its divisors is an integer number (41303080).

Almost surely, 2977971140 is an apocalyptic number.

977971140 is a gapful number since it is divisible by the number (90) 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 977971140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486910880).

977971140 is an abundant number, since it is smaller than the sum of its proper divisors (1995850620).

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

977971140 is a wasteful number, since it uses less digits than its factorization.

977971140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 977971140 is about 31272.5301183003. The cubic root of 977971140 is about 992.6024579788.

The spelling of 977971140 in words is "nine hundred seventy-seven million, nine hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 12967 15084 18855 25140 25934 37710 38901 51868 64835 75420 77802 116703 129670 155604 194505 233406 259340 389010 466812 583515 778020 1167030 2334060 5433173 10866346 16299519 21732692 27165865 32599038 48898557 54331730 65198076 81497595 97797114 108663460 162995190 195594228 244492785 325990380 488985570 977971140