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13534000120 = 235717696197
BaseRepresentation
bin11001001101011000…
…00111001111111000
31021221012121102220201
430212230013033320
5210204201000440
610114544331544
7656246050204
oct144654071770
937835542821
1013534000120
115815654673
122758613bb4
131378bcc6c4
14925651b04
1554328419a
hex326b073f8

13534000120 has 64 divisors (see below), whose sum is σ = 30925540800. Its totient is φ = 5329551360.

The previous prime is 13534000099. The next prime is 13534000163. The reversal of 13534000120 is 2100043531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180862 + ... + 2187058.

It is an arithmetic number, because the mean of its divisors is an integer number (483211575).

Almost surely, 213534000120 is an apocalyptic number.

13534000120 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 13534000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462770400).

13534000120 is an abundant number, since it is smaller than the sum of its proper divisors (17391540680).

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

13534000120 is a wasteful number, since it uses less digits than its factorization.

13534000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7048 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 13534000120 its reverse (2100043531), we get a palindrome (15634043651).

The spelling of 13534000120 in words is "thirteen billion, five hundred thirty-four million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 769 1420 1538 2840 3076 3845 6152 6197 7690 12394 15380 24788 30760 30985 49576 54599 61970 109198 123940 218396 247880 272995 436792 439987 545990 879974 1091980 1759948 2183960 2199935 3519896 4399870 4765493 8799740 9530986 17599480 19061972 23827465 38123944 47654930 95309860 190619720 338350003 676700006 1353400012 1691750015 2706800024 3383500030 6767000060 13534000120