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103484164 = 22741109827
BaseRepresentation
bin1100010101100…
…00101100000100
321012201112120211
412022300230010
5202442443124
614134005204
72364413050
oct612605404
9235645524
10103484164
1153461203
122a7a6804
1318593644
14da5ac60
159141e94
hex62b0b04

103484164 has 48 divisors (see below), whose sum is σ = 214220160. Its totient is φ = 42819840.

The previous prime is 103484149. The next prime is 103484167. The reversal of 103484164 is 461484301.

It is not an unprimeable number, because it can be changed into a prime (103484167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124719 + ... + 125545.

It is an arithmetic number, because the mean of its divisors is an integer number (4462920).

Almost surely, 2103484164 is an apocalyptic number.

103484164 is a gapful number since it is divisible by the number (14) 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 103484164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107110080).

103484164 is an abundant number, since it is smaller than the sum of its proper divisors (110735996).

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

103484164 is a wasteful number, since it uses less digits than its factorization.

103484164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 103484164 is about 10172.7166479756. The cubic root of 103484164 is about 469.4881465560.

The spelling of 103484164 in words is "one hundred three million, four hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 109 164 218 287 436 574 763 827 1148 1526 1654 3052 3308 4469 5789 8938 11578 17876 23156 31283 33907 62566 67814 90143 125132 135628 180286 237349 360572 474698 631001 949396 1262002 2524004 3695863 7391726 14783452 25871041 51742082 103484164