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100328896 = 263161829
BaseRepresentation
bin1011111101011…
…10010111000000
320222210020101001
411332232113000
5201141011041
613542221344
72325532033
oct576562700
9228706331
10100328896
11516a6648
1229724854
1317a2a415
14d47901a
158c1c131
hex5fae5c0

100328896 has 56 divisors (see below), whose sum is σ = 209133440. Its totient is φ = 47692800.

The previous prime is 100328887. The next prime is 100328897. The reversal of 100328896 is 698823001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100328897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120610 + ... + 121438.

Almost surely, 2100328896 is an apocalyptic number.

100328896 is a gapful number since it is divisible by the number (16) 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 100328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104566720).

100328896 is an abundant number, since it is smaller than the sum of its proper divisors (108804544).

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

100328896 is an equidigital number, since it uses as much as digits as its factorization.

100328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 100328896 is about 10016.4313006180. The cubic root of 100328896 is about 464.6671931647.

The spelling of 100328896 in words is "one hundred million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 61 62 64 122 124 244 248 488 496 829 976 992 1658 1891 1952 1984 3316 3782 3904 6632 7564 13264 15128 25699 26528 30256 50569 51398 53056 60512 101138 102796 121024 202276 205592 404552 411184 809104 822368 1567639 1618208 1644736 3135278 3236416 6270556 12541112 25082224 50164448 100328896