Search a number
-
+
109917810 = 2345135701
BaseRepresentation
bin1101000110100…
…11011001110010
321122211101220000
412203103121302
5211114332220
614523530430
72503200042
oct643233162
9248741800
10109917810
1157055972
1230989a16
1319a06b32
1410853722
1599b3390
hex68d3672

109917810 has 40 divisors (see below), whose sum is σ = 295558956. Its totient is φ = 29311200.

The previous prime is 109917809. The next prime is 109917811. The reversal of 109917810 is 18719901.

It is an interprime number because it is at equal distance from previous prime (109917809) and next prime (109917811).

It can be written as a sum of positive squares in 2 ways, for example, as 103245921 + 6671889 = 10161^2 + 2583^2 .

It is a super-2 number, since 2×1099178102 = 24163849910392200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (109917811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67041 + ... + 68660.

Almost surely, 2109917810 is an apocalyptic number.

109917810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109917810 is an abundant number, since it is smaller than the sum of its proper divisors (185641146).

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

109917810 is a wasteful number, since it uses less digits than its factorization.

109917810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135720 (or 135711 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 109917810 is about 10484.1694950053. The cubic root of 109917810 is about 479.0226205788.

The spelling of 109917810 in words is "one hundred nine million, nine hundred seventeen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 135701 271402 407103 678505 814206 1221309 1357010 2035515 2442618 3663927 4071030 6106545 7327854 10991781 12213090 18319635 21983562 36639270 54958905 109917810