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100190304 = 2533611901
BaseRepresentation
bin1011111100011…
…00100001100000
320222112012021000
411332030201200
5201122042204
613535232000
72324414004
oct576144140
9228465230
10100190304
1151611505
1229678600
13179ac306
14d440704
158be1039
hex5f8c860

100190304 has 96 divisors (see below), whose sum is σ = 297168480. Its totient is φ = 32832000.

The previous prime is 100190297. The next prime is 100190317. The reversal of 100190304 is 403091001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1001903042 = 20076194031224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51754 + ... + 53654.

It is an arithmetic number, because the mean of its divisors is an integer number (3095505).

Almost surely, 2100190304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100190304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148584240).

100190304 is an abundant number, since it is smaller than the sum of its proper divisors (196978176).

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

100190304 is a wasteful number, since it uses less digits than its factorization.

100190304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100190304 is about 10009.5106773508. The cubic root of 100190304 is about 464.4531344234.

The spelling of 100190304 in words is "one hundred million, one hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1901 1952 2196 2928 3294 3802 4392 5703 5856 6588 7604 8784 11406 13176 15208 17109 17568 22812 26352 30416 34218 45624 51327 52704 60832 68436 91248 102654 115961 136872 182496 205308 231922 273744 347883 410616 463844 547488 695766 821232 927688 1043649 1391532 1642464 1855376 2087298 2783064 3130947 3710752 4174596 5566128 6261894 8349192 11132256 12523788 16698384 25047576 33396768 50095152 100190304