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103642740 = 2234563977
BaseRepresentation
bin1100010110101…
…11011001110100
321020000121010000
412023113121310
5203013031430
614141231300
72365643265
oct613273164
9236017100
10103642740
115355a363
122a862530
131861a886
14da9c96c
159173e60
hex62d7674

103642740 has 60 divisors (see below), whose sum is σ = 325136196. Its totient is φ = 27637632.

The previous prime is 103642733. The next prime is 103642783. The reversal of 103642740 is 47246301.

103642740 is a `hidden beast` number, since 10 + 3 + 642 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 56610576 = 6858^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1036427403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30369 + ... + 33608.

Almost surely, 2103642740 is an apocalyptic number.

103642740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103642740 is an abundant number, since it is smaller than the sum of its proper divisors (221493456).

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

103642740 is a wasteful number, since it uses less digits than its factorization.

103642740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63998 (or 63987 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103642740 is about 10180.5078458788. The cubic root of 103642740 is about 469.7278339752.

The spelling of 103642740 in words is "one hundred three million, six hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 63977 127954 191931 255908 319885 383862 575793 639770 767724 959655 1151586 1279540 1727379 1919310 2303172 2878965 3454758 3838620 5182137 5757930 6909516 8636895 10364274 11515860 17273790 20728548 25910685 34547580 51821370 103642740