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199172040 = 23357197241
BaseRepresentation
bin10111101111100…
…01111111001000
3111212202222200020
423313301333020
5401442001130
631432540440
74635635334
oct1367617710
9455688606
10199172040
11a24779a1
1256851720
13323574a2
141c6487c4
1512743e10
hexbdf1fc8

199172040 has 128 divisors (see below), whose sum is σ = 614718720. Its totient is φ = 51609600.

The previous prime is 199172033. The next prime is 199172053. The reversal of 199172040 is 40271991.

It is a junction number, because it is equal to n+sod(n) for n = 199171992 and 199172010.

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, 826320 + ... + 826560.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2199172040 is an apocalyptic number.

199172040 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 199172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

199172040 is an abundant number, since it is smaller than the sum of its proper divisors (415546680).

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

199172040 is a wasteful number, since it uses less digits than its factorization.

199172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 199172040 is about 14112.8324584401. The cubic root of 199172040 is about 583.9954415732.

The spelling of 199172040 in words is "one hundred ninety-nine million, one hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 97 120 142 194 213 241 284 291 355 388 426 482 485 568 582 710 723 776 852 964 970 1065 1164 1205 1420 1446 1455 1704 1928 1940 2130 2328 2410 2840 2892 2910 3615 3880 4260 4820 5784 5820 6887 7230 8520 9640 11640 13774 14460 17111 20661 23377 27548 28920 34222 34435 41322 46754 51333 55096 68444 68870 70131 82644 85555 93508 102666 103305 116885 136888 137740 140262 165288 171110 187016 205332 206610 233770 256665 275480 280524 342220 350655 410664 413220 467540 513330 561048 684440 701310 826440 935080 1026660 1402620 1659767 2053320 2805240 3319534 4979301 6639068 8298835 9958602 13278136 16597670 19917204 24896505 33195340 39834408 49793010 66390680 99586020 199172040