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102861976 = 2372534951
BaseRepresentation
bin1100010000110…
…00110010011000
321011112221002211
412020120302120
5202313040401
614112404504
72356212100
oct610306230
9234487084
10102861976
11530767a8
122a546734
1318406399
14d938200
15906c951
hex6218c98

102861976 has 48 divisors (see below), whose sum is σ = 228633840. Its totient is φ = 43243200.

The previous prime is 102861973. The next prime is 102862009. The reversal of 102861976 is 679168201.

It is a super-2 number, since 2×1028619762 = 21161172213249152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102861971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18301 + ... + 23251.

It is an arithmetic number, because the mean of its divisors is an integer number (4763205).

Almost surely, 2102861976 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 102861976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114316920).

102861976 is an abundant number, since it is smaller than the sum of its proper divisors (125771864).

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

102861976 is a wasteful number, since it uses less digits than its factorization.

102861976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 102861976 is about 10142.0893310994. The cubic root of 102861976 is about 468.5453379498.

The spelling of 102861976 in words is "one hundred two million, eight hundred sixty-one thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 4951 5194 9902 10388 19804 20776 34657 39608 69314 138628 242599 262403 277256 485198 524806 970396 1049612 1836821 1940792 2099224 3673642 7347284 12857747 14694568 25715494 51430988 102861976