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100465640 = 23511228331
BaseRepresentation
bin1011111110011…
…11101111101000
321000001011221122
411333033233220
5201204400030
613545154412
72326641512
oct577175750
9230034848
10100465640
115178a360
122978ba08
1317a77732
14d4b2bb2
158c478e5
hex5fcfbe8

100465640 has 32 divisors (see below), whose sum is σ = 246598560. Its totient is φ = 36532800.

The previous prime is 100465601. The next prime is 100465663. The reversal of 100465640 is 46564001.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 113726 + ... + 114605.

It is an arithmetic number, because the mean of its divisors is an integer number (7706205).

Almost surely, 2100465640 is an apocalyptic number.

100465640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100465640 is an abundant number, since it is smaller than the sum of its proper divisors (146132920).

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

100465640 is a wasteful number, since it uses less digits than its factorization.

100465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228353 (or 228349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 100465640 is about 10023.2549603410. The cubic root of 100465640 is about 464.8782045064.

The spelling of 100465640 in words is "one hundred million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 228331 456662 913324 1141655 1826648 2283310 2511641 4566620 5023282 9133240 10046564 12558205 20093128 25116410 50232820 100465640