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100465140 = 22359371787
BaseRepresentation
bin1011111110011…
…11100111110100
321000001011021010
411333033213310
5201204341030
613545152220
72326640166
oct577174764
9230034233
10100465140
1151789a46
122978b670
1317a77439
14d4b2936
158c476b0
hex5fcf9f4

100465140 has 48 divisors (see below), whose sum is σ = 281760192. Its totient is φ = 26747136.

The previous prime is 100465117. The next prime is 100465153. The reversal of 100465140 is 41564001.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 55327 + ... + 57113.

It is an arithmetic number, because the mean of its divisors is an integer number (5870004).

Almost surely, 2100465140 is an apocalyptic number.

100465140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100465140 is an abundant number, since it is smaller than the sum of its proper divisors (181295052).

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

100465140 is a wasteful number, since it uses less digits than its factorization.

100465140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100465140 is about 10023.2300183125. The cubic root of 100465140 is about 464.8774332991.

The spelling of 100465140 in words is "one hundred million, four hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 937 1787 1874 2811 3574 3748 4685 5361 5622 7148 8935 9370 10722 11244 14055 17870 18740 21444 26805 28110 35740 53610 56220 107220 1674419 3348838 5023257 6697676 8372095 10046514 16744190 20093028 25116285 33488380 50232570 100465140