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100469628 = 223272291741
BaseRepresentation
bin1011111110100…
…00101101111100
321000001101102100
411333100231330
5201210012003
613545225100
72326656240
oct577205574
9230041370
10100469628
1151792356
1229792190
1317a794ac
14d4b4420
158c48ba3
hex5fd0b7c

100469628 has 72 divisors (see below), whose sum is σ = 291680480. Its totient is φ = 28563840.

The previous prime is 100469627. The next prime is 100469647. The reversal of 100469628 is 826964001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100469592 and 100469601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100469627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56838 + ... + 58578.

Almost surely, 2100469628 is an apocalyptic number.

100469628 is a gapful number since it is divisible by the number (18) 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 100469628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145840240).

100469628 is an abundant number, since it is smaller than the sum of its proper divisors (191210852).

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

100469628 is a wasteful number, since it uses less digits than its factorization.

100469628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 100469628 is about 10023.4538957387. The cubic root of 100469628 is about 464.8843555638.

The spelling of 100469628 in words is "one hundred million, four hundred sixty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1603 1741 2061 2748 3206 3482 4122 4809 5223 6412 6964 8244 9618 10446 12187 14427 15669 19236 20892 24374 28854 31338 36561 48748 57708 62676 73122 109683 146244 219366 398689 438732 797378 1196067 1594756 2392134 2790823 3588201 4784268 5581646 7176402 8372469 11163292 14352804 16744938 25117407 33489876 50234814 100469628