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20040972 = 22371929433
BaseRepresentation
bin100110001110…
…0110100001100
31101201012001020
41030130310030
520112302342
61553314140
7332226330
oct114346414
941635036
1020040972
1110349096
126865950
1341c8c83
1429397c0
151b5d0ec
hex131cd0c

20040972 has 96 divisors (see below), whose sum is σ = 58329600. Its totient is φ = 5225472.

The previous prime is 20040971. The next prime is 20040983. The reversal of 20040972 is 27904002.

It is not an unprimeable number, because it can be changed into a prime (20040971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46068 + ... + 46500.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 220040972 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 20040972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29164800).

20040972 is an abundant number, since it is smaller than the sum of its proper divisors (38288628).

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

20040972 is a wasteful number, since it uses less digits than its factorization.

20040972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20040972 is about 4476.7144201970. The cubic root of 20040972 is about 271.6269937592.

Adding to 20040972 its reverse (27904002), we get a palindrome (47944974).

It can be divided in two parts, 20040 and 972, that added together give a palindrome (21012).

The spelling of 20040972 in words is "twenty million, forty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 433 532 551 609 798 812 866 1102 1218 1299 1596 1653 1732 2204 2436 2598 3031 3306 3857 5196 6062 6612 7714 8227 9093 11571 12124 12557 15428 16454 18186 23142 24681 25114 32908 36372 37671 46284 49362 50228 57589 75342 87899 98724 115178 150684 172767 175798 230356 238583 263697 345534 351596 477166 527394 691068 715749 954332 1054788 1431498 1670081 2862996 3340162 5010243 6680324 10020486 20040972