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13980150 = 2325247661
BaseRepresentation
bin110101010101…
…000111110110
3222022021011100
4311111013312
512034331100
61215350530
7226554312
oct65250766
928267140
1013980150
117989548
124822446
132b863a2
141bdcb42
151362400
hexd551f6

13980150 has 72 divisors (see below), whose sum is σ = 38417184. Its totient is φ = 3643200.

The previous prime is 13980149. The next prime is 13980151. The reversal of 13980150 is 5108931.

It is an interprime number because it is at equal distance from previous prime (13980149) and next prime (13980151).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13980151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20820 + ... + 21480.

It is an arithmetic number, because the mean of its divisors is an integer number (533572).

Almost surely, 213980150 is an apocalyptic number.

13980150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13980150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208592).

13980150 is an abundant number, since it is smaller than the sum of its proper divisors (24437034).

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

13980150 is a wasteful number, since it uses less digits than its factorization.

13980150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13980150 is about 3739.0038780402. The cubic root of 13980150 is about 240.9002646259.

The spelling of 13980150 in words is "thirteen million, nine hundred eighty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 661 705 846 1175 1322 1410 1983 2115 2350 3305 3525 3966 4230 5949 6610 7050 9915 10575 11898 16525 19830 21150 29745 31067 33050 49575 59490 62134 93201 99150 148725 155335 186402 279603 297450 310670 466005 559206 776675 932010 1398015 1553350 2330025 2796030 4660050 6990075 13980150