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190130304 = 2737135441
BaseRepresentation
bin10110101010100…
…10100010000000
3111020202121202010
423111102202000
5342133132204
630511052520
74466036520
oct1325224200
9436677663
10190130304
1198361791
1253811140
133050cb50
141b373680
1511a59d89
hexb552880

190130304 has 128 divisors (see below), whose sum is σ = 621694080. Its totient is φ = 50135040.

The previous prime is 190130299. The next prime is 190130357. The reversal of 190130304 is 403031091.

190130304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1901303042 = 72299064998264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 32224 + ... + 37664.

It is an arithmetic number, because the mean of its divisors is an integer number (4856985).

Almost surely, 2190130304 is an apocalyptic number.

190130304 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 190130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310847040).

190130304 is an abundant number, since it is smaller than the sum of its proper divisors (431563776).

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

190130304 is a wasteful number, since it uses less digits than its factorization.

190130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 190130304 is about 13788.7745648408. The cubic root of 190130304 is about 575.0210996668.

Adding to 190130304 its reverse (403031091), we get a palindrome (593161395).

The spelling of 190130304 in words is "one hundred ninety million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5441 5824 8736 10882 11648 16323 17472 21764 32646 34944 38087 43528 65292 70733 76174 87056 114261 130584 141466 152348 174112 212199 228522 261168 282932 304696 348224 424398 457044 495131 522336 565864 609392 696448 848796 914088 990262 1044672 1131728 1218784 1485393 1697592 1828176 1980524 2089344 2263456 2437568 2970786 3395184 3656352 3961048 4526912 4875136 5941572 6790368 7312704 7922096 9053824 11883144 13580736 14625408 15844192 23766288 27161472 31688384 47532576 63376768 95065152 190130304