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103019904 = 2733132293
BaseRepresentation
bin1100010001111…
…11010110000000
321011211221202000
412020333112000
5202333114104
614120024000
72360440401
oct610772600
9234757660
10103019904
1153174419
122a602000
1318460230
14d9799a8
15909e639
hex623f580

103019904 has 128 divisors (see below), whose sum is σ = 327583200. Its totient is φ = 31684608.

The previous prime is 103019897. The next prime is 103019923. The reversal of 103019904 is 409910301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1030199042 = 21226201240338432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43782 + ... + 46074.

Almost surely, 2103019904 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 103019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163791600).

103019904 is an abundant number, since it is smaller than the sum of its proper divisors (224563296).

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

103019904 is a wasteful number, since it uses less digits than its factorization.

103019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103019904 is about 10149.8721174210. The cubic root of 103019904 is about 468.7850073055.

The spelling of 103019904 in words is "one hundred three million, nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2293 2496 2808 3456 3744 4586 4992 5616 6879 7488 9172 11232 13758 14976 18344 20637 22464 27516 29809 36688 41274 44928 55032 59618 61911 73376 82548 89427 110064 119236 123822 146752 165096 178854 220128 238472 247644 268281 293504 330192 357708 440256 476944 495288 536562 660384 715416 804843 880512 953888 990576 1073124 1320768 1430832 1609686 1907776 1981152 2146248 2641536 2861664 3219372 3815552 3962304 4292496 5723328 6438744 7924608 8584992 11446656 12877488 17169984 25754976 34339968 51509952 103019904