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190330080 = 25353112791
BaseRepresentation
bin10110101100000…
…11010011100000
3111021010202210020
423112003103200
5342211030310
630515233440
74500531123
oct1326032340
9437122706
10190330080
1198488896
12538a8880
133057ca65
141b3c63ba
1511a99170
hexb5834e0

190330080 has 96 divisors (see below), whose sum is σ = 618928128. Its totient is φ = 49113600.

The previous prime is 190330073. The next prime is 190330097. The reversal of 190330080 is 80033091.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 190330080.

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, 8485 + ... + 21275.

It is an arithmetic number, because the mean of its divisors is an integer number (6447168).

Almost surely, 2190330080 is an apocalyptic number.

190330080 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 190330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309464064).

190330080 is an abundant number, since it is smaller than the sum of its proper divisors (428598048).

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

190330080 is a wasteful number, since it uses less digits than its factorization.

190330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12840 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 190330080 is about 13796.0168164583. The cubic root of 190330080 is about 575.2224268651. Note that the first 3 decimals are identical.

The spelling of 190330080 in words is "one hundred ninety million, three hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 12791 14880 25582 38373 51164 63955 76746 102328 127910 153492 191865 204656 255820 306984 383730 396521 409312 511640 613968 767460 793042 1023280 1189563 1227936 1534920 1586084 1982605 2046560 2379126 3069840 3172168 3965210 4758252 5947815 6139680 6344336 7930420 9516504 11895630 12688672 15860840 19033008 23791260 31721680 38066016 47582520 63443360 95165040 190330080