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2661200520 = 23351110119961
BaseRepresentation
bin1001111010011110…
…1011001010001000
320212110111222211020
42132213223022020
520422231404040
61120022432440
7122642555046
oct23647531210
96773458736
102661200520
1111461a6380
12623292720
13335450484
141b3613396
1510896dcd0
hex9e9eb288

2661200520 has 128 divisors (see below), whose sum is σ = 8796055680. Its totient is φ = 638720000.

The previous prime is 2661200501. The next prime is 2661200539. The reversal of 2661200520 is 250021662.

2661200520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2661200501) and next prime (2661200539).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 123340 + ... + 143300.

It is an arithmetic number, because the mean of its divisors is an integer number (68719185).

Almost surely, 22661200520 is an apocalyptic number.

2661200520 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 2661200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398027840).

2661200520 is an abundant number, since it is smaller than the sum of its proper divisors (6134855160).

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

2661200520 is a wasteful number, since it uses less digits than its factorization.

2661200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20087 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2661200520 is about 51586.8250622191. The cubic root of 2661200520 is about 1385.7743969592.

The spelling of 2661200520 in words is "two billion, six hundred sixty-one million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 19961 22220 26664 33330 39922 44440 59883 66660 79844 99805 119766 133320 159688 199610 219571 239532 299415 399220 439142 479064 598830 658713 798440 878284 1097855 1197660 1317426 1756568 2016061 2195710 2395320 2634852 3293565 4032122 4391420 5269704 6048183 6587130 8064244 8782840 10080305 12096366 13174260 16128488 20160610 22176671 24192732 26348520 30240915 40321220 44353342 48385464 60481830 66530013 80642440 88706684 110883355 120963660 133060026 177413368 221766710 241927320 266120052 332650065 443533420 532240104 665300130 887066840 1330600260 2661200520