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13902084 = 2233723771
BaseRepresentation
bin110101000010…
…000100000100
3222011022002000
4311002010010
512024331314
61213545300
7226110600
oct65020404
928138060
1013902084
117935929
1247a5230
132b599b1
141bbc500
151349209
hexd42104

13902084 has 144 divisors (see below), whose sum is σ = 43666560. Its totient is φ = 3810240.

The previous prime is 13902079. The next prime is 13902101. The reversal of 13902084 is 48020931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195769 + ... + 195839.

It is an arithmetic number, because the mean of its divisors is an integer number (303240).

Almost surely, 213902084 is an apocalyptic number.

13902084 is a gapful number since it is divisible by the number (14) 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 13902084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280).

13902084 is an abundant number, since it is smaller than the sum of its proper divisors (29764476).

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

13902084 is a wasteful number, since it uses less digits than its factorization.

13902084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13902084 is about 3728.5498521543. The cubic root of 13902084 is about 240.4510268639.

The spelling of 13902084 in words is "thirteen million, nine hundred two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 49 54 63 71 74 84 98 108 111 126 142 147 148 189 196 213 222 252 259 284 294 333 378 426 441 444 497 518 588 639 666 756 777 852 882 994 999 1036 1278 1323 1332 1491 1554 1764 1813 1917 1988 1998 2331 2556 2627 2646 2982 3108 3479 3626 3834 3996 4473 4662 5254 5292 5439 5964 6958 6993 7252 7668 7881 8946 9324 10437 10508 10878 13419 13916 13986 15762 16317 17892 18389 20874 21756 23643 26838 27972 31311 31524 32634 36778 41748 47286 48951 53676 55167 62622 65268 70929 73556 93933 94572 97902 110334 125244 128723 141858 165501 187866 195804 220668 257446 283716 331002 375732 386169 496503 514892 662004 772338 993006 1158507 1544676 1986012 2317014 3475521 4634028 6951042 13902084