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20148678 = 232113292
BaseRepresentation
bin100110011011…
…1000111000110
31101220122210100
41030313013012
520124224203
61555504530
7333155334
oct114670706
941818710
1020148678
1110412000
1268b8146
134235cc4
142966b54
151b7eea3
hex13371c6

20148678 has 72 divisors (see below), whose sum is σ = 49730616. Its totient is φ = 5895120.

The previous prime is 20148647. The next prime is 20148679. The reversal of 20148678 is 87684102.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694768 + ... + 694796.

It is an arithmetic number, because the mean of its divisors is an integer number (690703).

Almost surely, 220148678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20148678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24865308).

20148678 is an abundant number, since it is smaller than the sum of its proper divisors (29581938).

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

20148678 is a wasteful number, since it uses less digits than its factorization.

20148678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20148678 is about 4488.7278821510. The cubic root of 20148678 is about 272.1127254075.

The spelling of 20148678 in words is "twenty million, one hundred forty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 841 957 1089 1331 1682 1914 2178 2523 2662 2871 3509 3993 5046 5742 7018 7569 7986 9251 10527 11979 15138 18502 21054 23958 27753 31581 38599 55506 63162 77198 83259 101761 115797 166518 203522 231594 305283 347391 610566 694782 915849 1119371 1831698 2238742 3358113 6716226 10074339 20148678