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13978116 = 2233294463
BaseRepresentation
bin110101010100…
…101000000100
3222022011101000
4311110220010
512034244431
61215333300
7226545345
oct65245004
928264330
1013978116
117987a69
124821230
132b85499
141bdc0cc
1513619e6
hexd54a04

13978116 has 48 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4497696.

The previous prime is 13978109. The next prime is 13978123. The reversal of 13978116 is 61187931.

It is an interprime number because it is at equal distance from previous prime (13978109) and next prime (13978123).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 901 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 213978116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13978116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13978116 is an abundant number, since it is smaller than the sum of its proper divisors (23519484).

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

13978116 is a wasteful number, since it uses less digits than its factorization.

13978116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4497 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 13978116 is about 3738.7318705679. The cubic root of 13978116 is about 240.8885810387. Note that the first 3 decimals are identical.

The spelling of 13978116 in words is "thirteen million, nine hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4463 8926 13389 17852 26778 40167 53556 80334 120501 129427 160668 241002 258854 388281 482004 517708 776562 1164843 1553124 2329686 3494529 4659372 6989058 13978116