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100093932 = 223219114557
BaseRepresentation
bin1011111011101…
…00111111101100
320222100022001200
411331310333230
5201111001212
613533205500
72323533021
oct575647754
9228308050
10100093932
1151556064
1229630890
13179774a3
14d417548
158bc26dc
hex5f74fec

100093932 has 36 divisors (see below), whose sum is σ = 254357376. Its totient is φ = 33187680.

The previous prime is 100093901. The next prime is 100093963. The reversal of 100093932 is 239390001.

It is an interprime number because it is at equal distance from previous prime (100093901) and next prime (100093963).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 100093896 and 100093905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403 + ... + 14154.

Almost surely, 2100093932 is an apocalyptic number.

100093932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100093932 is an abundant number, since it is smaller than the sum of its proper divisors (154263444).

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

100093932 is a wasteful number, since it uses less digits than its factorization.

100093932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14758 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 100093932 is about 10004.6954976151. The cubic root of 100093932 is about 464.3041691216.

It can be divided in two parts, 100093 and 932, that added together give a triangular number (101025 = T449).

The spelling of 100093932 in words is "one hundred million, ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 14557 29114 43671 58228 87342 131013 174684 262026 524052 2780387 5560774 8341161 11121548 16682322 25023483 33364644 50046966 100093932