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190338540 = 223572101641
BaseRepresentation
bin10110101100001…
…01010111101100
3111021011012101120
423112011113230
5342211313130
630515340540
74500564600
oct1326052754
9437135346
10190338540
1198494187
12538b1750
1330583872
141b3c9500
1511a9b910
hexb5855ec

190338540 has 144 divisors (see below), whose sum is σ = 627074784. Its totient is φ = 43008000.

The previous prime is 190338527. The next prime is 190338557. The reversal of 190338540 is 45833091.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296620 + ... + 297260.

It is an arithmetic number, because the mean of its divisors is an integer number (4354686).

Almost surely, 2190338540 is an apocalyptic number.

190338540 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 190338540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313537392).

190338540 is an abundant number, since it is smaller than the sum of its proper divisors (436736244).

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

190338540 is a wasteful number, since it uses less digits than its factorization.

190338540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 190338540 is about 13796.3234232893. The cubic root of 190338540 is about 575.2309494445.

The spelling of 190338540 in words is "one hundred ninety million, three hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 101 105 140 147 196 202 210 245 294 303 404 420 490 505 588 606 641 707 735 980 1010 1212 1282 1414 1470 1515 1923 2020 2121 2564 2828 2940 3030 3205 3535 3846 4242 4487 4949 6060 6410 7070 7692 8484 8974 9615 9898 10605 12820 13461 14140 14847 17948 19230 19796 21210 22435 24745 26922 29694 31409 38460 42420 44870 49490 53844 59388 62818 64741 67305 74235 89740 94227 98980 125636 129482 134610 148470 157045 188454 194223 258964 269220 296940 314090 323705 376908 388446 453187 471135 628180 647410 776892 906374 942270 971115 1294820 1359561 1812748 1884540 1942230 2265935 2719122 3172309 3884460 4531870 5438244 6344618 6797805 9063740 9516927 12689236 13595610 15861545 19033854 27191220 31723090 38067708 47584635 63446180 95169270 190338540