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2959200420 = 22351141109357
BaseRepresentation
bin1011000001100001…
…1101000010100100
321122020020221211120
42300120131002210
522030023403140
61205345533540
7133221534321
oct26030350244
97566227746
102959200420
111289434090
126a70442b0
133820caa87
14201025b48
15124bd51d0
hexb061d0a4

2959200420 has 96 divisors (see below), whose sum is σ = 9259560576. Its totient is φ = 699878400.

The previous prime is 2959200383. The next prime is 2959200443. The reversal of 2959200420 is 240029592.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 27619 + ... + 81738.

It is an arithmetic number, because the mean of its divisors is an integer number (96453756).

Almost surely, 22959200420 is an apocalyptic number.

2959200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2959200420 is an abundant number, since it is smaller than the sum of its proper divisors (6300360156).

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

2959200420 is a wasteful number, since it uses less digits than its factorization.

2959200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109421 (or 109419 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2959200420 is about 54398.5332522854. The cubic root of 2959200420 is about 1435.6815743501.

The spelling of 2959200420 in words is "two billion, nine hundred fifty-nine million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 109357 218714 328071 437428 546785 656142 1093570 1202927 1312284 1640355 2187140 2405854 3280710 3608781 4483637 4811708 6014635 6561420 7217562 8967274 12029270 13450911 14435124 17934548 18043905 22418185 24058540 26901822 36087810 44836370 49320007 53803644 67254555 72175620 89672740 98640014 134509110 147960021 197280028 246600035 269018220 295920042 493200070 591840084 739800105 986400140 1479600210 2959200420