Search a number
-
+
190143744 = 2837113313
BaseRepresentation
bin10110101010101…
…01110100000000
3111020210022011220
423111111310000
5342134044434
630511235040
74466123640
oct1325256400
9436708156
10190143744
119837089a
1253818a80
1330515cbb
141b378520
1511a5dd49
hexb555d00

190143744 has 144 divisors (see below), whose sum is σ = 585336192. Its totient is φ = 53673984.

The previous prime is 190143743. The next prime is 190143761. The reversal of 190143744 is 447341091.

190143744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190143743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607332 + ... + 607644.

Almost surely, 2190143744 is an apocalyptic number.

190143744 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 190143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292668096).

190143744 is an abundant number, since it is smaller than the sum of its proper divisors (395192448).

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

190143744 is a wasteful number, since it uses less digits than its factorization.

190143744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 190143744 is about 13789.2619091814. The cubic root of 190143744 is about 575.0346484477.

The spelling of 190143744 in words is "one hundred ninety million, one hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 313 336 339 384 448 452 626 672 678 768 791 896 904 939 1252 1344 1356 1582 1792 1808 1878 2191 2373 2504 2688 2712 3164 3616 3756 4382 4746 5008 5376 5424 6328 6573 7232 7512 8764 9492 10016 10848 12656 13146 14464 15024 17528 18984 20032 21696 25312 26292 28928 30048 35056 35369 37968 40064 43392 50624 52584 60096 70112 70738 75936 80128 86784 101248 105168 106107 120192 140224 141476 151872 202496 210336 212214 240384 247583 280448 282952 303744 420672 424428 495166 560896 565904 607488 742749 841344 848856 990332 1131808 1485498 1682688 1697712 1980664 2263616 2970996 3395424 3961328 4527232 5941992 6790848 7922656 9054464 11883984 13581696 15845312 23767968 27163392 31690624 47535936 63381248 95071872 190143744