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13845720 = 2335753311
BaseRepresentation
bin110100110100…
…010011011000
3222001102202110
4310310103120
512021030340
61212432320
7225454350
oct64642330
928042673
1013845720
1178a7549
1247786a0
132b3a145
141ba5b60
151337680
hexd344d8

13845720 has 128 divisors (see below), whose sum is σ = 48522240. Its totient is φ = 3095040.

The previous prime is 13845703. The next prime is 13845721. The reversal of 13845720 is 2754831.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44365 + ... + 44675.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 213845720 is an apocalyptic number.

13845720 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 13845720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24261120).

13845720 is an abundant number, since it is smaller than the sum of its proper divisors (34676520).

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

13845720 is a wasteful number, since it uses less digits than its factorization.

13845720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 13845720 is about 3720.9837408943. The cubic root of 13845720 is about 240.1256286723.

The spelling of 13845720 in words is "thirteen million, eight hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 311 318 371 420 424 530 622 636 742 795 840 933 1060 1113 1244 1272 1484 1555 1590 1855 1866 2120 2177 2226 2488 2968 3110 3180 3710 3732 4354 4452 4665 5565 6220 6360 6531 7420 7464 8708 8904 9330 10885 11130 12440 13062 14840 16483 17416 18660 21770 22260 26124 32655 32966 37320 43540 44520 49449 52248 65310 65932 82415 87080 98898 115381 130620 131864 164830 197796 230762 247245 261240 329660 346143 395592 461524 494490 576905 659320 692286 923048 988980 1153810 1384572 1730715 1977960 2307620 2769144 3461430 4615240 6922860 13845720