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103253472 = 2532751217
BaseRepresentation
bin1100010011110…
…00010111100000
321012021211010200
412021320113200
5202413102342
614125025200
72362432350
oct611702740
9235254120
10103253472
1153313953
122a6b5200
131851263a
14d9dab60
1590e894c
hex62785e0

103253472 has 72 divisors (see below), whose sum is σ = 335580336. Its totient is φ = 29500416.

The previous prime is 103253471. The next prime is 103253477. The reversal of 103253472 is 274352301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1032534722 = 21322558960109568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103253471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23593 + ... + 27624.

It is an arithmetic number, because the mean of its divisors is an integer number (4660838).

Almost surely, 2103253472 is an apocalyptic number.

103253472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103253472 is an abundant number, since it is smaller than the sum of its proper divisors (232326864).

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

103253472 is a wasteful number, since it uses less digits than its factorization.

103253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51240 (or 51229 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 103253472 is about 10161.3715609656. The cubic root of 103253472 is about 469.1390182889.

The spelling of 103253472 in words is "one hundred three million, two hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 51217 102434 153651 204868 307302 358519 409736 460953 614604 717038 819472 921906 1075557 1229208 1434076 1638944 1843812 2151114 2458416 2868152 3226671 3687624 4302228 4916832 5736304 6453342 7375248 8604456 11472608 12906684 14750496 17208912 25813368 34417824 51626736 103253472