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13979900 = 22521171179
BaseRepresentation
bin110101010101…
…000011111100
3222022020211002
4311111003330
512034324100
61215345432
7226553504
oct65250374
928266732
1013979900
117989340
124822278
132b8623c
141bdca04
1513622d5
hexd550fc

13979900 has 72 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 4984000.

The previous prime is 13979857. The next prime is 13979921. The reversal of 13979900 is 997931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78011 + ... + 78189.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 213979900 is an apocalyptic number.

13979900 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 13979900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

13979900 is an abundant number, since it is smaller than the sum of its proper divisors (19767940).

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

13979900 is a wasteful number, since it uses less digits than its factorization.

13979900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 38.

The square root of 13979900 is about 3738.9704465267. The cubic root of 13979900 is about 240.8988286512.

The spelling of 13979900 in words is "thirteen million, nine hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 179 220 275 284 355 358 550 710 716 781 895 1100 1420 1562 1775 1790 1969 3124 3550 3580 3905 3938 4475 7100 7810 7876 8950 9845 12709 15620 17900 19525 19690 25418 39050 39380 49225 50836 63545 78100 98450 127090 139799 196900 254180 279598 317725 559196 635450 698995 1270900 1397990 2795980 3494975 6989950 13979900