Search a number
-
+
2156260620 = 2235177692749
BaseRepresentation
bin1000000010000101…
…1110110100001100
312120021101101111110
42000201132310030
513404000314440
6553544052020
7104301625053
oct20041366414
95507341443
102156260620
11a07175578
12502164010
13284958a77
1416653339a
15c947c080
hex8085ed0c

2156260620 has 96 divisors (see below), whose sum is σ = 6403320000. Its totient is φ = 540278784.

The previous prime is 2156260609. The next prime is 2156260621. The reversal of 2156260620 is 260626512.

It is a super-2 number, since 2×21562606202 = 9298919722725568800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2156260621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783006 + ... + 785754.

It is an arithmetic number, because the mean of its divisors is an integer number (66701250).

Almost surely, 22156260620 is an apocalyptic number.

2156260620 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 2156260620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201660000).

2156260620 is an abundant number, since it is smaller than the sum of its proper divisors (4247059380).

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

2156260620 is a wasteful number, since it uses less digits than its factorization.

2156260620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2156260620 is about 46435.5534046920. The cubic root of 2156260620 is about 1291.9144340704.

The spelling of 2156260620 in words is "two billion, one hundred fifty-six million, two hundred sixty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 769 1020 1538 2307 2749 3076 3845 4614 5498 7690 8247 9228 10996 11535 13073 13745 15380 16494 23070 26146 27490 32988 39219 41235 46140 46733 52292 54980 65365 78438 82470 93466 130730 140199 156876 164940 186932 196095 233665 261460 280398 392190 467330 560796 700995 784380 934660 1401990 2113981 2803980 4227962 6341943 8455924 10569905 12683886 21139810 25367772 31709715 35937677 42279620 63419430 71875354 107813031 126838860 143750708 179688385 215626062 359376770 431252124 539065155 718753540 1078130310 2156260620