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100254080 = 275383409
BaseRepresentation
bin1011111100111…
…00000110000000
320222122102202002
411332130012000
5201131112310
613540443132
72325100643
oct576340600
9228572662
10100254080
1151655413
12296a94a8
1317a02354
14d459a5a
158c04da5
hex5f9c180

100254080 has 64 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 39899136.

The previous prime is 100254041. The next prime is 100254097. The reversal of 100254080 is 80452001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244916 + ... + 245324.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 2100254080 is an apocalyptic number.

100254080 is a gapful number since it is divisible by the number (10) 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 100254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

100254080 is an abundant number, since it is smaller than the sum of its proper divisors (140629120).

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

100254080 is an equidigital number, since it uses as much as digits as its factorization.

100254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 100254080 is about 10012.6959406545. The cubic root of 100254080 is about 464.5516625214.

The spelling of 100254080 in words is "one hundred million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 383 409 640 766 818 1532 1636 1915 2045 3064 3272 3830 4090 6128 6544 7660 8180 12256 13088 15320 16360 24512 26176 30640 32720 49024 52352 61280 65440 122560 130880 156647 245120 261760 313294 626588 783235 1253176 1566470 2506352 3132940 5012704 6265880 10025408 12531760 20050816 25063520 50127040 100254080