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63109980 = 22325675233
BaseRepresentation
bin1111000010111…
…1101101011100
311101202022121200
43300233231130
5112124004410
610132355500
71364266053
oct360575534
9141668550
1063109980
113269550a
1219175b90
13100c86ab
14854b39a
1558193c0
hex3c2fb5c

63109980 has 72 divisors (see below), whose sum is σ = 194327952. Its totient is φ = 16574976.

The previous prime is 63109957. The next prime is 63110011. The reversal of 63109980 is 8990136.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 9444 + ... + 14676.

Almost surely, 263109980 is an apocalyptic number.

63109980 is a gapful number since it is divisible by the number (60) 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 63109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97163976).

63109980 is an abundant number, since it is smaller than the sum of its proper divisors (131217972).

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

63109980 is a wasteful number, since it uses less digits than its factorization.

63109980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 63109980 is about 7944.1790010044. The cubic root of 63109980 is about 398.1371294178.

It can be divided in two parts, 6310 and 9980, that added together give a triangular number (16290 = T180).

The spelling of 63109980 in words is "sixty-three million, one hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 5233 6030 10466 12060 15699 20932 26165 31398 47097 52330 62796 78495 94194 104660 156990 188388 235485 313980 350611 470970 701222 941940 1051833 1402444 1753055 2103666 3155499 3506110 4207332 5259165 6310998 7012220 10518330 12621996 15777495 21036660 31554990 63109980