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977013108 = 223241719323
BaseRepresentation
bin111010001111000…
…000100101110100
32112002102102000200
4322033000211310
54000103404413
6240540440500
733132321501
oct7217004564
92462372020
10977013108
11461553455
12233249130
1312754c386
1493a864a8
155ab90573
hex3a3c0974

977013108 has 72 divisors (see below), whose sum is σ = 2565815616. Its totient is φ = 313219200.

The previous prime is 977013101. The next prime is 977013127. The reversal of 977013108 is 801310779.

It is a super-2 number, since 2×9770131082 = 1909109226407639328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977013101) 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, 100135 + ... + 109457.

It is an arithmetic number, because the mean of its divisors is an integer number (35636328).

Almost surely, 2977013108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977013108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282907808).

977013108 is an abundant number, since it is smaller than the sum of its proper divisors (1588802508).

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

977013108 is a wasteful number, since it uses less digits than its factorization.

977013108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9445 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 977013108 is about 31257.2088965090. The cubic root of 977013108 is about 992.2782304132.

The spelling of 977013108 in words is "nine hundred seventy-seven million, thirteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 71 82 123 142 164 213 246 284 369 426 492 639 738 852 1278 1476 2556 2911 5822 8733 9323 11644 17466 18646 26199 27969 34932 37292 52398 55938 83907 104796 111876 167814 335628 382243 661933 764486 1146729 1323866 1528972 1985799 2293458 2647732 3440187 3971598 4586916 5957397 6880374 7943196 11914794 13760748 23829588 27139253 54278506 81417759 108557012 162835518 244253277 325671036 488506554 977013108