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14190920 = 2351741509
BaseRepresentation
bin110110001000…
…100101001000
3222200222021122
4312020211020
512113102140
61224054412
7231422642
oct66104510
928628248
1014190920
118012937
124904408
132c2b2c3
141c55892
1513a4ab5
hexd88948

14190920 has 64 divisors (see below), whose sum is σ = 34700400. Its totient is φ = 5201920.

The previous prime is 14190899. The next prime is 14190923. The reversal of 14190920 is 2909141.

It can be written as a sum of positive squares in 8 ways, for example, as 6584356 + 7606564 = 2566^2 + 2758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14190920.

It is not an unprimeable number, because it can be changed into a prime (14190923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27626 + ... + 28134.

Almost surely, 214190920 is an apocalyptic number.

14190920 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 14190920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350200).

14190920 is an abundant number, since it is smaller than the sum of its proper divisors (20509480).

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

14190920 is a wasteful number, since it uses less digits than its factorization.

14190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 14190920 is about 3767.0837527191. The cubic root of 14190920 is about 242.1048654190.

The spelling of 14190920 in words is "fourteen million, one hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 509 680 697 820 1018 1394 1640 2036 2545 2788 3485 4072 5090 5576 6970 8653 10180 13940 17306 20360 20869 27880 34612 41738 43265 69224 83476 86530 104345 166952 173060 208690 346120 354773 417380 709546 834760 1419092 1773865 2838184 3547730 7095460 14190920