Search a number
-
+
199403904 = 2737312393
BaseRepresentation
bin10111110001010…
…10100110000000
3111220012202201210
423320222212000
5402021411104
631441530120
74640622330
oct1370524600
9456182653
10199403904
11a2616117
1256943940
1332408b9b
141c6a90c0
151278c989
hexbe2a980

199403904 has 128 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 55111680.

The previous prime is 199403887. The next prime is 199403923. The reversal of 199403904 is 409304991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82132 + ... + 84524.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2199403904 is an apocalyptic number.

199403904 is a gapful number since it is divisible by the number (14) 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 199403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

199403904 is an abundant number, since it is smaller than the sum of its proper divisors (425717376).

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

199403904 is a wasteful number, since it uses less digits than its factorization.

199403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 199403904 is about 14121.0447205580. The cubic root of 199403904 is about 584.2219710409.

The spelling of 199403904 in words is "one hundred ninety-nine million, four hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2393 2604 2688 2976 3472 3968 4786 5208 5952 6944 7179 9572 10416 11904 13888 14358 16751 19144 20832 27776 28716 33502 38288 41664 50253 57432 67004 74183 76576 83328 100506 114864 134008 148366 153152 201012 222549 229728 268016 296732 306304 402024 445098 459456 519281 536032 593464 804048 890196 918912 1038562 1072064 1186928 1557843 1608096 1780392 2077124 2144128 2373856 3115686 3216192 3560784 4154248 4747712 6231372 6432384 7121568 8308496 9495424 12462744 14243136 16616992 24925488 28486272 33233984 49850976 66467968 99701952 199403904