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103487904 = 253213131211
BaseRepresentation
bin1100010101100…
…01100110100000
321012201201201100
412022301212200
5202443103104
614134034400
72364430002
oct612614640
9235651640
10103487904
1153463aa3
122a7a8a00
1318595260
14da5c372
159143139
hex62b19a0

103487904 has 144 divisors (see below), whose sum is σ = 320864544. Its totient is φ = 31449600.

The previous prime is 103487899. The next prime is 103487941. The reversal of 103487904 is 409784301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 490359 + ... + 490569.

It is an arithmetic number, because the mean of its divisors is an integer number (2228226).

Almost surely, 2103487904 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 103487904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160432272).

103487904 is an abundant number, since it is smaller than the sum of its proper divisors (217376640).

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

103487904 is a wasteful number, since it uses less digits than its factorization.

103487904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103487904 is about 10172.9004713503. The cubic root of 103487904 is about 469.4938023795.

The spelling of 103487904 in words is "one hundred three million, four hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 131 144 156 208 211 234 262 288 312 393 416 422 468 524 624 633 786 844 936 1048 1179 1248 1266 1572 1688 1703 1872 1899 2096 2358 2532 2743 3144 3376 3406 3744 3798 4192 4716 5064 5109 5486 6288 6752 6812 7596 8229 9432 10128 10218 10972 12576 13624 15192 15327 16458 18864 20256 20436 21944 24687 27248 27641 30384 30654 32916 37728 40872 43888 49374 54496 55282 60768 61308 65832 81744 82923 87776 98748 110564 122616 131664 163488 165846 197496 221128 245232 248769 263328 331692 359333 394992 442256 490464 497538 663384 718666 789984 884512 995076 1077999 1326768 1437332 1990152 2155998 2653536 2874664 3233997 3980304 4311996 5749328 6467994 7960608 8623992 11498656 12935988 17247984 25871976 34495968 51743952 103487904