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195345990 = 23257437211
BaseRepresentation
bin10111010010010…
…11111001000110
3111121120121022200
423221023321012
5400002032430
631214535330
74561261560
oct1351137106
9447517280
10195345990
11a02a4374
1255507546
1331617b58
141bd30330
151223a460
hexba4be46

195345990 has 96 divisors (see below), whose sum is σ = 594038016. Its totient is φ = 43606080.

The previous prime is 195345979. The next prime is 195346007. The reversal of 195345990 is 99543591.

It is a happy number.

195345990 is a `hidden beast` number, since 1 + 9 + 53 + 4 + 599 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 23485 + ... + 30695.

It is an arithmetic number, because the mean of its divisors is an integer number (6187896).

Almost surely, 2195345990 is an apocalyptic number.

195345990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 195345990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297019008).

195345990 is an abundant number, since it is smaller than the sum of its proper divisors (398692026).

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

195345990 is a wasteful number, since it uses less digits than its factorization.

195345990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 195345990 is about 13976.6229826808. The cubic root of 195345990 is about 580.2317642925.

The spelling of 195345990 in words is "one hundred ninety-five million, three hundred forty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1290 1505 1806 1935 2709 3010 3870 4515 5418 7211 9030 13545 14422 21633 27090 36055 43266 50477 64899 72110 100954 108165 129798 151431 216330 252385 302862 310073 324495 454293 504770 620146 648990 757155 908586 930219 1514310 1550365 1860438 2170511 2271465 2790657 3100730 4341022 4542930 4651095 5581314 6511533 9302190 10852555 13023066 13953285 19534599 21705110 27906570 32557665 39069198 65115330 97672995 195345990