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103099776 = 27313191087
BaseRepresentation
bin1100010010100…
…10110110000000
321012000000022020
412021102312000
5202343143101
614121441440
72361222303
oct611226600
9235000266
10103099776
115321942a
122a640280
131848a6b0
14d99ab3a
1590b8136
hex6252d80

103099776 has 128 divisors (see below), whose sum is σ = 310732800. Its totient is φ = 30025728.

The previous prime is 103099771. The next prime is 103099783. The reversal of 103099776 is 677990301.

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

It is a super-2 number, since 2×1030997762 = 21259127622500352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103099771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94305 + ... + 95391.

It is an arithmetic number, because the mean of its divisors is an integer number (2427600).

Almost surely, 2103099776 is an apocalyptic number.

103099776 is a gapful number since it is divisible by the number (16) 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 103099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155366400).

103099776 is an abundant number, since it is smaller than the sum of its proper divisors (207633024).

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

103099776 is a wasteful number, since it uses less digits than its factorization.

103099776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 103099776 is about 10153.8059859345. The cubic root of 103099776 is about 468.9061266953.

The spelling of 103099776 in words is "one hundred three million, ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1087 1216 1248 1482 1664 1824 1976 2174 2432 2496 2964 3261 3648 3952 4348 4992 5928 6522 7296 7904 8696 11856 13044 14131 15808 17392 20653 23712 26088 28262 31616 34784 41306 42393 47424 52176 56524 61959 69568 82612 84786 94848 104352 113048 123918 139136 165224 169572 208704 226096 247836 268489 330448 339144 417408 452192 495672 536978 660896 678288 805467 904384 991344 1073956 1321792 1356576 1610934 1808768 1982688 2147912 2643584 2713152 3221868 3965376 4295824 5426304 6443736 7930752 8591648 12887472 17183296 25774944 34366592 51549888 103099776