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102163740 = 22357347701
BaseRepresentation
bin1100001011011…
…10010100011100
321010020110022020
412011232110130
5202123214430
614045420140
72350243320
oct605562434
9233213266
10102163740
115273a148
122a26a650
1318220623
14d7d5980
158e80b10
hex616e51c

102163740 has 96 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 23251200.

The previous prime is 102163729. The next prime is 102163783. The reversal of 102163740 is 47361201.

It is a self number, because there is not a number n which added to its sum of digits gives 102163740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145390 + ... + 146090.

It is an arithmetic number, because the mean of its divisors is an integer number (3420144).

Almost surely, 2102163740 is an apocalyptic number.

102163740 is a gapful number since it is divisible by the number (10) 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 102163740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912).

102163740 is an abundant number, since it is smaller than the sum of its proper divisors (226170084).

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

102163740 is a wasteful number, since it uses less digits than its factorization.

102163740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102163740 is about 10107.6080256409. The cubic root of 102163740 is about 467.4827545661.

The spelling of 102163740 in words is "one hundred two million, one hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 347 420 694 701 1041 1388 1402 1735 2082 2103 2429 2804 3470 3505 4164 4206 4858 4907 5205 6940 7010 7287 8412 9716 9814 10410 10515 12145 14020 14574 14721 19628 20820 21030 24290 24535 29148 29442 36435 42060 48580 49070 58884 72870 73605 98140 145740 147210 243247 294420 486494 729741 972988 1216235 1459482 1702729 2432470 2918964 3405458 3648705 4864940 5108187 6810916 7297410 8513645 10216374 14594820 17027290 20432748 25540935 34054580 51081870 102163740