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13437930 = 2351143947
BaseRepresentation
bin110011010000…
…101111101010
3221021201101010
4303100233222
511420003210
61200004350
7222135432
oct63205752
927251333
1013437930
117649130
1246006b6
132a2664c
141adb2c2
1512a6920
hexcd0bea

13437930 has 64 divisors (see below), whose sum is σ = 36039168. Its totient is φ = 3178560.

The previous prime is 13437929. The next prime is 13437937. The reversal of 13437930 is 3973431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13437937) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13717 + ... + 14663.

It is an arithmetic number, because the mean of its divisors is an integer number (563112).

Almost surely, 213437930 is an apocalyptic number.

13437930 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 13437930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18019584).

13437930 is an abundant number, since it is smaller than the sum of its proper divisors (22601238).

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

13437930 is a wasteful number, since it uses less digits than its factorization.

13437930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 13437930 is about 3665.7782256978. The cubic root of 13437930 is about 237.7446712155.

13437930 divided by its sum of digits (30) gives a triangular number (447931 = T946).

The spelling of 13437930 in words is "thirteen million, four hundred thirty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 947 1290 1419 1894 2365 2838 2841 4730 4735 5682 7095 9470 10417 14190 14205 20834 28410 31251 40721 52085 62502 81442 104170 122163 156255 203605 244326 312510 407210 447931 610815 895862 1221630 1343793 2239655 2687586 4479310 6718965 13437930