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100253040 = 2435417721
BaseRepresentation
bin1011111100110…
…11110101110000
320222122101022120
411332123311300
5201131044130
613540434240
72325064626
oct576336560
9228571276
10100253040
1151654658
12296a8980
1317a01a34
14d459516
158c04910
hex5f9bd70

100253040 has 40 divisors (see below), whose sum is σ = 310785168. Its totient is φ = 26734080.

The previous prime is 100253003. The next prime is 100253053. The reversal of 100253040 is 40352001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 208621 + ... + 209100.

Almost surely, 2100253040 is an apocalyptic number.

100253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100253040 is an abundant number, since it is smaller than the sum of its proper divisors (210532128).

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

100253040 is a wasteful number, since it uses less digits than its factorization.

100253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417737 (or 417731 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100253040 is about 10012.6440064550. The cubic root of 100253040 is about 464.5500561515.

The spelling of 100253040 in words is "one hundred million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 417721 835442 1253163 1670884 2088605 2506326 3341768 4177210 5012652 6265815 6683536 8354420 10025304 12531630 16708840 20050608 25063260 33417680 50126520 100253040