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103190472 = 233272112659
BaseRepresentation
bin1100010011010…
…00111111001000
321012011121201100
412021220333020
5202404043342
614123421400
72362050600
oct611507710
9235147640
10103190472
1153280590
122a684860
13184bca68
14d9c1c00
1590d4e4c
hex6268fc8

103190472 has 144 divisors (see below), whose sum is σ = 354790800. Its totient is φ = 26792640.

The previous prime is 103190471. The next prime is 103190473. The reversal of 103190472 is 274091301.

103190472 is a `hidden beast` number, since 1 + 0 + 3 + 190 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (103190471) and next prime (103190473).

It is not an unprimeable number, because it can be changed into a prime (103190471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37479 + ... + 40137.

It is an arithmetic number, because the mean of its divisors is an integer number (2463825).

Almost surely, 2103190472 is an apocalyptic number.

103190472 is a gapful number since it is divisible by the number (12) 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 103190472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

103190472 is an abundant number, since it is smaller than the sum of its proper divisors (251600328).

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

103190472 is a wasteful number, since it uses less digits than its factorization.

103190472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 103190472 is about 10158.2711127435. The cubic root of 103190472 is about 469.0435839796.

The spelling of 103190472 in words is "one hundred three million, one hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2659 2772 3234 3528 4312 4851 5318 5544 6468 7977 9702 10636 12936 15954 18613 19404 21272 23931 29249 31908 37226 38808 47862 55839 58498 63816 74452 87747 95724 111678 116996 130291 148904 167517 175494 191448 204743 223356 233992 260582 263241 335034 350988 390873 409486 446712 521164 526482 614229 670068 701976 781746 818972 1042328 1052964 1172619 1228458 1340136 1433201 1563492 1637944 1842687 2105928 2345238 2456916 2866402 3126984 3685374 4299603 4690476 4913832 5732804 7370748 8599206 9380952 11465608 12898809 14741496 17198412 25797618 34396824 51595236 103190472