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2413595380 = 2257411992113
BaseRepresentation
bin1000111111011100…
…1000101011110100
320020012121100102111
42033313020223310
514420340023010
61035255420404
7113545136140
oct21767105364
96205540374
102413595380
111029458a29
12574384704
132c6068b61
1418c79c220
15e1d5e58a
hex8fdc8af4

2413595380 has 96 divisors (see below), whose sum is σ = 5966553600. Its totient is φ = 802897920.

The previous prime is 2413595377. The next prime is 2413595477. The reversal of 2413595380 is 835953142.

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, 1141204 + ... + 1143316.

It is an arithmetic number, because the mean of its divisors is an integer number (62151600).

Almost surely, 22413595380 is an apocalyptic number.

2413595380 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 2413595380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983276800).

2413595380 is an abundant number, since it is smaller than the sum of its proper divisors (3552958220).

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

2413595380 is a wasteful number, since it uses less digits than its factorization.

2413595380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2413595380 is about 49128.3561703422. The cubic root of 2413595380 is about 1341.3892512516.

The spelling of 2413595380 in words is "two billion, four hundred thirteen million, five hundred ninety-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 199 205 287 398 410 574 796 820 995 1148 1393 1435 1990 2113 2786 2870 3980 4226 5572 5740 6965 8159 8452 10565 13930 14791 16318 21130 27860 29582 32636 40795 42260 57113 59164 73955 81590 86633 114226 147910 163180 173266 228452 285565 295820 346532 420487 433165 571130 606431 840974 866330 1142260 1212862 1681948 1732660 2102435 2425724 2943409 3032155 4204870 5886818 6064310 8409740 11773636 12128620 14717045 17239967 29434090 34479934 58868180 68959868 86199835 120679769 172399670 241359538 344799340 482719076 603398845 1206797690 2413595380