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103855620 = 223511532969
BaseRepresentation
bin1100011000010…
…11011000000100
321020102102010110
412030023120010
5203041334440
614145553020
72400521031
oct614133004
9236372113
10103855620
11536952a0
122a945770
131869373b
14db16388
1591b7080
hex630b604

103855620 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 24693760.

The previous prime is 103855579. The next prime is 103855627. The reversal of 103855620 is 26558301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (103855627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33496 + ... + 36464.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2103855620 is an apocalyptic number.

103855620 is a gapful number since it is divisible by the number (10) 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 103855620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

103855620 is an abundant number, since it is smaller than the sum of its proper divisors (219470460).

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

103855620 is a wasteful number, since it uses less digits than its factorization.

103855620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 103855620 is about 10190.9577567567. The cubic root of 103855620 is about 470.0492177219.

The spelling of 103855620 in words is "one hundred three million, eight hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 2969 3180 3498 5830 5938 6996 8745 8907 11660 11876 14845 17490 17814 29690 32659 34980 35628 44535 59380 65318 89070 97977 130636 157357 163295 178140 195954 314714 326590 391908 472071 489885 629428 653180 786785 944142 979770 1573570 1730927 1888284 1959540 2360355 3147140 3461854 4720710 5192781 6923708 8654635 9441420 10385562 17309270 20771124 25963905 34618540 51927810 103855620