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13623420 = 2235474831
BaseRepresentation
bin110011111110…
…000001111100
3221122010211010
4303332001330
511441422140
61203555220
7223540266
oct63760174
927563733
1013623420
117765528
12468bb10
132a8cbc5
141b48b36
1512e1880
hexcfe07c

13623420 has 48 divisors (see below), whose sum is σ = 38965248. Its totient is φ = 3554880.

The previous prime is 13623419. The next prime is 13623427. The reversal of 13623420 is 2432631.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13623427) 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, 405 + ... + 5235.

It is an arithmetic number, because the mean of its divisors is an integer number (811776).

Almost surely, 213623420 is an apocalyptic number.

13623420 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 13623420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19482624).

13623420 is an abundant number, since it is smaller than the sum of its proper divisors (25341828).

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

13623420 is a wasteful number, since it uses less digits than its factorization.

13623420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 13623420 is about 3690.9917366475. The cubic root of 13623420 is about 238.8335763612.

The spelling of 13623420 in words is "thirteen million, six hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4831 9662 14493 19324 24155 28986 48310 57972 72465 96620 144930 227057 289860 454114 681171 908228 1135285 1362342 2270570 2724684 3405855 4541140 6811710 13623420