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190201480 = 23574797149
BaseRepresentation
bin10110101011000…
…11111010001000
3111020220020101021
423111203322020
5342142421410
630512402224
74466454160
oct1325437210
9436806337
10190201480
1198400207
1253846374
1330536371
141b3915a0
1511a70eda
hexb563e88

190201480 has 128 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 62742528.

The previous prime is 190201469. The next prime is 190201489. The reversal of 190201480 is 84102091.

It is a happy number.

190201480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (190201489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276446 + ... + 1276594.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2190201480 is an apocalyptic number.

190201480 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 190201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

190201480 is an abundant number, since it is smaller than the sum of its proper divisors (317830520).

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

190201480 is a wasteful number, since it uses less digits than its factorization.

190201480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 190201480 is about 13791.3552633525. The cubic root of 190201480 is about 575.0928444910.

The spelling of 190201480 in words is "one hundred ninety million, two hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 97 140 149 188 194 235 280 298 329 376 388 470 485 596 658 679 745 776 940 970 1043 1192 1316 1358 1490 1645 1880 1940 2086 2632 2716 2980 3290 3395 3880 4172 4559 5215 5432 5960 6580 6790 7003 8344 9118 10430 13160 13580 14006 14453 18236 20860 22795 27160 28012 28906 31913 35015 36472 41720 45590 49021 56024 57812 63826 70030 72265 91180 98042 101171 115624 127652 140060 144530 159565 182360 196084 202342 245105 255304 280120 289060 319130 392168 404684 490210 505855 578120 638260 679291 809368 980420 1011710 1276520 1358582 1960840 2023420 2717164 3396455 4046840 4755037 5434328 6792910 9510074 13585820 19020148 23775185 27171640 38040296 47550370 95100740 190201480