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13793520 = 2435134421
BaseRepresentation
bin110100100111…
…100011110000
3221221210011010
4310213203300
512012343040
61211350520
7225146226
oct64474360
927853133
1013793520
117871304
124752440
132b1c460
141b90b16
151326e80
hexd278f0

13793520 has 80 divisors (see below), whose sum is σ = 46059552. Its totient is φ = 3394560.

The previous prime is 13793519. The next prime is 13793539. The reversal of 13793520 is 2539731.

13793520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×137935202 = 380522387980800, which contains 22 as substring.

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

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, 910 + ... + 5330.

Almost surely, 213793520 is an apocalyptic number.

13793520 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 13793520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029776).

13793520 is an abundant number, since it is smaller than the sum of its proper divisors (32266032).

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

13793520 is a wasteful number, since it uses less digits than its factorization.

13793520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13793520 is about 3713.9628431098. The cubic root of 13793520 is about 239.8234813144.

The spelling of 13793520 in words is "thirteen million, seven hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4421 8842 13263 17684 22105 26526 35368 44210 53052 57473 66315 70736 88420 106104 114946 132630 172419 176840 212208 229892 265260 287365 344838 353680 459784 530520 574730 689676 862095 919568 1061040 1149460 1379352 1724190 2298920 2758704 3448380 4597840 6896760 13793520