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103134840 = 23357391163
BaseRepresentation
bin1100010010110…
…11011001111000
321012001210101220
412021123121320
5202400303330
614122312040
72361426444
oct611333170
9235053356
10103134840
1153242806
122a658620
13184a0643
14d9a9824
1590c3710
hex625b678

103134840 has 64 divisors (see below), whose sum is σ = 310089600. Its totient is φ = 27441792.

The previous prime is 103134821. The next prime is 103134847. The reversal of 103134840 is 48431301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103134840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103134847) 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, 88099 + ... + 89261.

It is an arithmetic number, because the mean of its divisors is an integer number (4845150).

Almost surely, 2103134840 is an apocalyptic number.

103134840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103134840 is an abundant number, since it is smaller than the sum of its proper divisors (206954760).

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

103134840 is a wasteful number, since it uses less digits than its factorization.

103134840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 103134840 is about 10155.5324823468. The cubic root of 103134840 is about 468.9592786402.

The spelling of 103134840 in words is "one hundred three million, one hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 739 1163 1478 2217 2326 2956 3489 3695 4434 4652 5815 5912 6978 7390 8868 9304 11085 11630 13956 14780 17445 17736 22170 23260 27912 29560 34890 44340 46520 69780 88680 139560 859457 1718914 2578371 3437828 4297285 5156742 6875656 8594570 10313484 12891855 17189140 20626968 25783710 34378280 51567420 103134840