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103048968 = 233111722961
BaseRepresentation
bin1100010010001…
…10011100001000
321011220102121110
412021012130020
5202340031333
614120410320
72360621211
oct611063410
9234812543
10103048968
1153194240
122a6169a0
1318470529
14d986408
1590a8063
hex6246708

103048968 has 64 divisors (see below), whose sum is σ = 297587520. Its totient is φ = 29388800.

The previous prime is 103048961. The next prime is 103048973. The reversal of 103048968 is 869840301.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103048961) 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, 6993 + ... + 15968.

It is an arithmetic number, because the mean of its divisors is an integer number (4649805).

Almost surely, 2103048968 is an apocalyptic number.

It is an amenable number.

103048968 is an abundant number, since it is smaller than the sum of its proper divisors (194538552).

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

103048968 is a wasteful number, since it uses less digits than its factorization.

103048968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22998 (or 22994 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 103048968 is about 10151.3037586312. The cubic root of 103048968 is about 468.8290877400.

The spelling of 103048968 in words is "one hundred three million, forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 22961 45922 68883 91844 137766 183688 252571 275532 390337 505142 551064 757713 780674 1010284 1171011 1515426 1561348 2020568 2342022 3030852 3122696 4293707 4684044 6061704 8587414 9368088 12881121 17174828 25762242 34349656 51524484 103048968