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103881492 = 22321113171187
BaseRepresentation
bin1100011000100…
…01101100010100
321020110201121200
412030101230110
5203043201432
614150312500
72400656331
oct614215424
9236421550
10103881492
1153702780
122a958730
13186a2450
14db21988
1591bea7c
hex6311b14

103881492 has 144 divisors (see below), whose sum is σ = 326918592. Its totient is φ = 27325440.

The previous prime is 103881467. The next prime is 103881497. The reversal of 103881492 is 294188301.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103881497) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 86923 + ... + 88109.

It is an arithmetic number, because the mean of its divisors is an integer number (2270268).

Almost surely, 2103881492 is an apocalyptic number.

103881492 is a gapful number since it is divisible by the number (12) 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 103881492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

103881492 is an abundant number, since it is smaller than the sum of its proper divisors (223037100).

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

103881492 is a wasteful number, since it uses less digits than its factorization.

103881492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 103881492 is about 10192.2270382876. The cubic root of 103881492 is about 470.0882465957.

The spelling of 103881492 in words is "one hundred three million, eight hundred eighty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1122 1187 1287 1326 1683 1716 1989 2244 2374 2431 2574 2652 3366 3561 3978 4748 4862 5148 6732 7122 7293 7956 9724 10683 13057 14244 14586 15431 20179 21366 21879 26114 29172 30862 39171 40358 42732 43758 46293 52228 60537 61724 78342 80716 87516 92586 117513 121074 138879 156684 169741 181611 185172 221969 235026 242148 262327 277758 339482 363222 443938 470052 509223 524654 555516 665907 678964 726444 786981 887876 1018446 1049308 1331814 1527669 1573962 1997721 2036892 2360943 2663628 2885597 3055338 3147924 3995442 4721886 5771194 6110676 7990884 8656791 9443772 11542388 17313582 25970373 34627164 51940746 103881492