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15990100 = 2252753431
BaseRepresentation
bin111100111111…
…110101010100
31010002101021221
4330333311110
513043140400
61330420124
7252625240
oct74776524
933071257
1015990100
119031665
125431644
13340b1c9
1421a3420
15160cc1a
hexf3fd54

15990100 has 72 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 5366400.

The previous prime is 15990097. The next prime is 15990119. The reversal of 15990100 is 109951.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36885 + ... + 37315.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 215990100 is an apocalyptic number.

15990100 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 15990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

15990100 is an abundant number, since it is smaller than the sum of its proper divisors (24507308).

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

15990100 is a wasteful number, since it uses less digits than its factorization.

15990100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 25.

The square root of 15990100 is about 3998.7623085150. The cubic root of 15990100 is about 251.9322275128.

The spelling of 15990100 in words is "fifteen million, nine hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 431 530 700 742 862 1060 1325 1484 1724 1855 2155 2650 3017 3710 4310 5300 6034 7420 8620 9275 10775 12068 15085 18550 21550 22843 30170 37100 43100 45686 60340 75425 91372 114215 150850 159901 228430 301700 319802 456860 571075 639604 799505 1142150 1599010 2284300 3198020 3997525 7995050 15990100