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20122752 = 2731329139
BaseRepresentation
bin100110011000…
…0110010000000
31101212100020010
41030300302000
520122412002
61555144520
7333016626
oct114606200
941770203
1020122752
11103a4581
1268a5140
134227270
14295b516
151b7746c
hex1330c80

20122752 has 128 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 5935104.

The previous prime is 20122733. The next prime is 20122757. The reversal of 20122752 is 25722102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20122757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144699 + ... + 144837.

Almost surely, 220122752 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 20122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

20122752 is an abundant number, since it is smaller than the sum of its proper divisors (39853248).

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

20122752 is a wasteful number, since it uses less digits than its factorization.

20122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20122752 is about 4485.8390519500. The cubic root of 20122752 is about 271.9959630312.

Adding to 20122752 its reverse (25722102), we get a palindrome (45844854).

The spelling of 20122752 in words is "twenty million, one hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 139 156 174 192 208 232 278 312 348 377 384 416 417 464 556 624 696 754 832 834 928 1112 1131 1248 1392 1508 1664 1668 1807 1856 2224 2262 2496 2784 3016 3336 3614 3712 4031 4448 4524 4992 5421 5568 6032 6672 7228 8062 8896 9048 10842 11136 12064 12093 13344 14456 16124 17792 18096 21684 24128 24186 26688 28912 32248 36192 43368 48256 48372 52403 53376 57824 64496 72384 86736 96744 104806 115648 128992 144768 157209 173472 193488 209612 231296 257984 314418 346944 386976 419224 515968 628836 693888 773952 838448 1257672 1547904 1676896 2515344 3353792 5030688 6707584 10061376 20122752