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190991232 = 2732317523
BaseRepresentation
bin10110110001001…
…00101110000000
3111022101100201100
423120210232000
5342343204412
630541334400
74506253515
oct1330445600
9438340640
10190991232
119889a5a3
1253b67400
1330751983
141b51930c
1511b79edc
hexb624b80

190991232 has 96 divisors (see below), whose sum is σ = 552385080. Its totient is φ = 63341568.

The previous prime is 190991219. The next prime is 190991233. The reversal of 190991232 is 232199091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190991233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364923 + ... + 365445.

Almost surely, 2190991232 is an apocalyptic number.

190991232 is a gapful number since it is divisible by the number (12) 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 190991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276192540).

190991232 is an abundant number, since it is smaller than the sum of its proper divisors (361393848).

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

190991232 is a wasteful number, since it uses less digits than its factorization.

190991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 190991232 is about 13819.9577423377. The cubic root of 190991232 is about 575.8877095920.

The spelling of 190991232 in words is "one hundred ninety million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 317 384 523 576 634 951 1046 1152 1268 1569 1902 2092 2536 2853 3138 3804 4184 4707 5072 5706 6276 7608 8368 9414 10144 11412 12552 15216 16736 18828 20288 22824 25104 30432 33472 37656 40576 45648 50208 60864 66944 75312 91296 100416 121728 150624 165791 182592 200832 301248 331582 365184 497373 602496 663164 994746 1326328 1492119 1989492 2652656 2984238 3978984 5305312 5968476 7957968 10610624 11936952 15915936 21221248 23873904 31831872 47747808 63663744 95495616 190991232