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103015296 = 2732223401
BaseRepresentation
bin1100010001111…
…10001110000000
321011211201102100
412020332032000
5202332442141
614115550400
72360421066
oct610761600
9234751370
10103015296
1153170a0a
122a5bb400
131845b0c7
14d978036
15909d0b6
hex623e380

103015296 has 96 divisors (see below), whose sum is σ = 298509120. Its totient is φ = 34099200.

The previous prime is 103015273. The next prime is 103015303. The reversal of 103015296 is 692510301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1030152962 = 21224302419935232, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 256696 + ... + 257096.

It is an arithmetic number, because the mean of its divisors is an integer number (3109470).

Almost surely, 2103015296 is an apocalyptic number.

103015296 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 103015296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149254560).

103015296 is an abundant number, since it is smaller than the sum of its proper divisors (195493824).

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

103015296 is a wasteful number, since it uses less digits than its factorization.

103015296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103015296 is about 10149.6451169487. The cubic root of 103015296 is about 468.7780177386.

Adding to 103015296 its reverse (692510301), we get a palindrome (795525597).

The spelling of 103015296 in words is "one hundred three million, fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 288 384 401 446 576 669 802 892 1152 1203 1338 1604 1784 2007 2406 2676 3208 3568 3609 4014 4812 5352 6416 7136 7218 8028 9624 10704 12832 14272 14436 16056 19248 21408 25664 28544 28872 32112 38496 42816 51328 57744 64224 76992 85632 89423 115488 128448 153984 178846 230976 256896 268269 357692 461952 536538 715384 804807 1073076 1430768 1609614 2146152 2861536 3219228 4292304 5723072 6438456 8584608 11446144 12876912 17169216 25753824 34338432 51507648 103015296