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977695380 = 2233510716921
BaseRepresentation
bin111010010001100…
…111001010010100
32112010201001221000
4322101213022110
54000242223010
6241003223300
733141162564
oct7221471224
92463631830
10977695380
1146197a012
12233517b30
1312772aa9c
1493bc2da4
155ac777c0
hex3a467294

977695380 has 96 divisors (see below), whose sum is σ = 3070327680. Its totient is φ = 258266880.

The previous prime is 977695379. The next prime is 977695387. The reversal of 977695380 is 83596779.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977695387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49320 + ... + 66240.

It is an arithmetic number, because the mean of its divisors is an integer number (31982580).

Almost surely, 2977695380 is an apocalyptic number.

977695380 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 977695380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535163840).

977695380 is an abundant number, since it is smaller than the sum of its proper divisors (2092632300).

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

977695380 is a wasteful number, since it uses less digits than its factorization.

977695380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17046 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 977695380 is about 31268.1208261705. The cubic root of 977695380 is about 992.5091540036.

The spelling of 977695380 in words is "nine hundred seventy-seven million, six hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 16921 19260 28890 33842 50763 57780 67684 84605 101526 152289 169210 203052 253815 304578 338420 456867 507630 609156 761445 913734 1015260 1522890 1810547 1827468 2284335 3045780 3621094 4568670 5431641 7242188 9052735 9137340 10863282 16294923 18105470 21726564 27158205 32589846 36210940 48884769 54316410 65179692 81474615 97769538 108632820 162949230 195539076 244423845 325898460 488847690 977695380