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1156795420 = 2251179101659
BaseRepresentation
bin100010011110011…
…0100110000011100
32222121201021222211
41010330310300130
54332114423140
6310442050204
740444412254
oct10474646034
92877637884
101156795420
11543a87580
122834a9964
13155878141
14ad8c4964
156b8542ea
hex44f34c1c

1156795420 has 96 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 410592000.

The previous prime is 1156795397. The next prime is 1156795429. The reversal of 1156795420 is 245976511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156795429) 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, 1755051 + ... + 1755709.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 21156795420 is an apocalyptic number.

1156795420 is a gapful number since it is divisible by the number (10) 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 1156795420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

1156795420 is an abundant number, since it is smaller than the sum of its proper divisors (1557546980).

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

1156795420 is a wasteful number, since it uses less digits than its factorization.

1156795420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 1156795420 is about 34011.6953414557. The cubic root of 1156795420 is about 1049.7491222240.

The spelling of 1156795420 in words is "one billion, one hundred fifty-six million, seven hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 101 110 158 202 220 316 395 404 505 659 790 869 1010 1111 1318 1580 1738 2020 2222 2636 3295 3476 4345 4444 5555 6590 7249 7979 8690 11110 13180 14498 15958 17380 22220 28996 31916 36245 39895 52061 66559 72490 79790 87769 104122 133118 144980 159580 175538 208244 260305 266236 332795 351076 438845 520610 572671 665590 732149 877690 1041220 1145342 1331180 1464298 1755380 2290684 2863355 2928596 3660745 5258161 5726710 7321490 10516322 11453420 14642980 21032644 26290805 52581610 57839771 105163220 115679542 231359084 289198855 578397710 1156795420