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103052432 = 2473167443
BaseRepresentation
bin1100010010001…
…11010010010000
321011220121100202
412021013102100
5202340134212
614120434332
72360634260
oct611072220
9234817322
10103052432
11531968aa
122a6189a8
1318471c92
14d9877a0
1590a90c2
hex6247490

103052432 has 80 divisors (see below), whose sum is σ = 239603712. Its totient is φ = 42007680.

The previous prime is 103052431. The next prime is 103052471. The reversal of 103052432 is 234250301.

It is a happy number.

It is a super-2 number, since 2×1030524322 = 21239607482229248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103052431) 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, 232403 + ... + 232845.

Almost surely, 2103052432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119801856).

103052432 is an abundant number, since it is smaller than the sum of its proper divisors (136551280).

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

103052432 is a wasteful number, since it uses less digits than its factorization.

103052432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 103052432 is about 10151.4743756757. The cubic root of 103052432 is about 468.8343409246.

The spelling of 103052432 in words is "one hundred three million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 268 434 443 469 496 536 868 886 938 1072 1736 1772 1876 2077 3101 3472 3544 3752 4154 6202 7088 7504 8308 12404 13733 14539 16616 24808 27466 29078 29681 33232 49616 54932 58156 59362 96131 109864 116312 118724 192262 207767 219728 232624 237448 384524 415534 474896 769048 831068 920111 1538096 1662136 1840222 3324272 3680444 6440777 7360888 12881554 14721776 25763108 51526216 103052432