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103901880 = 233519199229
BaseRepresentation
bin1100011000101…
…10101010111000
321020111202120210
412030112222320
5203044330010
614150551120
72401102635
oct614265270
9236452523
10103901880
1153717025
122a9684a0
13186ab804
14db2918c
1591c5b20
hex6316ab8

103901880 has 128 divisors (see below), whose sum is σ = 331200000. Its totient is φ = 26002944.

The previous prime is 103901857. The next prime is 103901881. The reversal of 103901880 is 88109301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103901881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453606 + ... + 453834.

It is an arithmetic number, because the mean of its divisors is an integer number (2587500).

Almost surely, 2103901880 is an apocalyptic number.

103901880 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 103901880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165600000).

103901880 is an abundant number, since it is smaller than the sum of its proper divisors (227298120).

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

103901880 is a wasteful number, since it uses less digits than its factorization.

103901880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 103901880 is about 10193.2271631707. The cubic root of 103901880 is about 470.1189980865.

The spelling of 103901880 in words is "one hundred three million, nine hundred one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 199 228 229 285 380 398 456 458 570 597 687 760 796 916 995 1140 1145 1194 1374 1592 1832 1990 2280 2290 2388 2748 2985 3435 3781 3980 4351 4580 4776 5496 5970 6870 7562 7960 8702 9160 11343 11940 13053 13740 15124 17404 18905 21755 22686 23880 26106 27480 30248 34808 37810 43510 45372 45571 52212 56715 65265 75620 87020 90744 91142 104424 113430 130530 136713 151240 174040 182284 226860 227855 261060 273426 364568 453720 455710 522120 546852 683565 865849 911420 1093704 1367130 1731698 1822840 2597547 2734260 3463396 4329245 5195094 5468520 6926792 8658490 10390188 12987735 17316980 20780376 25975470 34633960 51950940 103901880