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83103960 = 23356111353
BaseRepresentation
bin1001111010000…
…01000011011000
312210101010012110
410331001003120
5132233311320
612125112320
72026241412
oct475010330
9183333173
1083103960
1142a01265
12239b86a0
13142a9154
14b0739b2
1574685e0
hex4f410d8

83103960 has 64 divisors (see below), whose sum is σ = 253421280. Its totient is φ = 21795840.

The previous prime is 83103953. The next prime is 83103983. The reversal of 83103960 is 6930138.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644 + ... + 12996.

Almost surely, 283103960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83103960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126710640).

83103960 is an abundant number, since it is smaller than the sum of its proper divisors (170317320).

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

83103960 is a wasteful number, since it uses less digits than its factorization.

83103960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 83103960 is about 9116.1373399044. The cubic root of 83103960 is about 436.3891119912.

The spelling of 83103960 in words is "eighty-three million, one hundred three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 11353 22706 34059 45412 56765 68118 90824 113530 136236 170295 227060 272472 340590 454120 681180 692533 1362360 1385066 2077599 2770132 3462665 4155198 5540264 6925330 8310396 10387995 13850660 16620792 20775990 27701320 41551980 83103960