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2152612020 = 22351319114449
BaseRepresentation
bin1000000001001110…
…0100000010110100
312120000112000120010
42000103210002310
513402032041040
6553333540220
7104225620536
oct20023440264
95500460503
102152612020
11a051032a9
12500aa4670
13283c7c130
14165c63856
15c8eaae80
hex804e40b4

2152612020 has 96 divisors (see below), whose sum is σ = 6525388800. Its totient is φ = 527063040.

The previous prime is 2152612001. The next prime is 2152612061. The reversal of 2152612020 is 202162512.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141756 + ... + 156204.

It is an arithmetic number, because the mean of its divisors is an integer number (67972800).

Almost surely, 22152612020 is an apocalyptic number.

2152612020 is a gapful number since it is divisible by the number (20) 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 2152612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262694400).

2152612020 is an abundant number, since it is smaller than the sum of its proper divisors (4372776780).

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

2152612020 is a wasteful number, since it uses less digits than its factorization.

2152612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14665 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2152612020 is about 46396.2500639869. The cubic root of 2152612020 is about 1291.1853415961.

Adding to 2152612020 its reverse (202162512), we get a palindrome (2354774532).

The spelling of 2152612020 in words is "two billion, one hundred fifty-two million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 7449 9932 11460 12415 14449 14898 24830 28898 29796 37245 43347 49660 57796 72245 74490 86694 144490 148980 173388 187837 216735 288980 375674 433470 563511 751348 866940 939185 1127022 1878370 2254044 2759759 2817555 3756740 5519518 5635110 8279277 11039036 11270220 13798795 16558554 27597590 33117108 35876867 41396385 55195180 71753734 82792770 107630601 143507468 165585540 179384335 215261202 358768670 430522404 538153005 717537340 1076306010 2152612020