Search a number
-
+
20772504 = 2333175657
BaseRepresentation
bin100111100111…
…1011010011000
31110002100112000
41033033122120
520304210004
62021121000
7341364144
oct117173230
943070460
1020772504
11107a8765
126b59160
1343c3c2c
142a8a224
151c54c39
hex13cf698

20772504 has 64 divisors (see below), whose sum is σ = 61106400. Its totient is φ = 6515712.

The previous prime is 20772481. The next prime is 20772517. The reversal of 20772504 is 40527702.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 6500.

Almost surely, 220772504 is an apocalyptic number.

20772504 is a gapful number since it is divisible by the number (24) 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 20772504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30553200).

20772504 is an abundant number, since it is smaller than the sum of its proper divisors (40333896).

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

20772504 is a wasteful number, since it uses less digits than its factorization.

20772504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20772504 is about 4557.6862551080. The cubic root of 20772504 is about 274.8925376265.

The spelling of 20772504 in words is "twenty million, seven hundred seventy-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5657 11314 16971 22628 33942 45256 50913 67884 96169 101826 135768 152739 192338 203652 288507 305478 384676 407304 577014 610956 769352 865521 1154028 1221912 1731042 2308056 2596563 3462084 5193126 6924168 10386252 20772504