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199940520 = 23351329859
BaseRepresentation
bin10111110101011…
…01100110101000
3111221020000211110
423322231212220
5402141044040
631501230320
74645315653
oct1372554650
9457200743
10199940520
11a29522aa
1256b623a0
1332566200
141c7a889a
1512846980
hexbead9a8

199940520 has 96 divisors (see below), whose sum is σ = 649576800. Its totient is φ = 49211136.

The previous prime is 199940479. The next prime is 199940537. The reversal of 199940520 is 25049991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15351 + ... + 25209.

It is an arithmetic number, because the mean of its divisors is an integer number (6766425).

Almost surely, 2199940520 is an apocalyptic number.

199940520 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 199940520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324788400).

199940520 is an abundant number, since it is smaller than the sum of its proper divisors (449636280).

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

199940520 is a wasteful number, since it uses less digits than its factorization.

199940520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 199940520 is about 14140.0325317872. The cubic root of 199940520 is about 584.7455683695.

The spelling of 199940520 in words is "one hundred ninety-nine million, nine hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 9859 10140 19718 20280 29577 39436 49295 59154 78872 98590 118308 128167 147885 197180 236616 256334 295770 384501 394360 512668 591540 640835 769002 1025336 1183080 1281670 1538004 1666171 1922505 2563340 3076008 3332342 3845010 4998513 5126680 6664684 7690020 8330855 9997026 13329368 15380040 16661710 19994052 24992565 33323420 39988104 49985130 66646840 99970260 199940520