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20167992 = 23321329743
BaseRepresentation
bin100110011101…
…1110100111000
31101221122021200
41030323310320
520130333432
62000134200
7333265545
oct114736470
941848250
1020167992
1110425569
126907360
134241a30
14296dbcc
151b85a7c
hex133bd38

20167992 has 96 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 5983488.

The previous prime is 20167991. The next prime is 20167993. The reversal of 20167992 is 29976102.

It is an interprime number because it is at equal distance from previous prime (20167991) and next prime (20167993).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20167991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26773 + ... + 27515.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 220167992 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 20167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

20167992 is an abundant number, since it is smaller than the sum of its proper divisors (40765608).

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

20167992 is a wasteful number, since it uses less digits than its factorization.

20167992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 20167992 is about 4490.8787558784. The cubic root of 20167992 is about 272.1996443736.

The spelling of 20167992 in words is "twenty million, one hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 743 754 936 1044 1131 1486 1508 2088 2229 2262 2972 3016 3393 4458 4524 5944 6687 6786 8916 9048 9659 13374 13572 17832 19318 21547 26748 27144 28977 38636 43094 53496 57954 64641 77272 86188 86931 115908 129282 172376 173862 193923 231816 258564 280111 347724 387846 517128 560222 695448 775692 840333 1120444 1551384 1680666 2240888 2520999 3361332 5041998 6722664 10083996 20167992