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13763442 = 23711313
BaseRepresentation
bin110100100000…
…001101110010
3221220020220010
4310200031302
512010412232
61210555350
7224662440
oct64401562
927806803
1013763442
117850750
124738b56
132b0b864
141b83b90
15131d0cc
hexd20372

13763442 has 64 divisors (see below), whose sum is σ = 35463168. Its totient is φ = 3459600.

The previous prime is 13763441. The next prime is 13763447. The reversal of 13763442 is 24436731.

Its product of digits (12096) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13763441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443967 + ... + 443997.

It is an arithmetic number, because the mean of its divisors is an integer number (554112).

Almost surely, 213763442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13763442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731584).

13763442 is an abundant number, since it is smaller than the sum of its proper divisors (21699726).

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

13763442 is an equidigital number, since it uses as much as digits as its factorization.

13763442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 13763442 is about 3709.9113196949. The cubic root of 13763442 is about 239.6490356280.

Subtracting 13763442 from its reverse (24436731), we obtain a square (10673289 = 32672).

The spelling of 13763442 in words is "thirteen million, seven hundred sixty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 961 1023 1302 1922 2046 2387 2883 4774 5766 6727 7161 10571 13454 14322 20181 21142 29791 31713 40362 59582 63426 73997 89373 147994 178746 208537 221991 327701 417074 443982 625611 655402 983103 1251222 1966206 2293907 4587814 6881721 13763442