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189958770 = 23451912343
BaseRepresentation
bin10110101001010…
…00101001110010
3111020102220110000
423110220221302
5342112140040
630503250430
74464423441
oct1324505162
9436386400
10189958770
1198254921
1253749a16
133047ca51
141b32ad58
1511a24130
hexb528a72

189958770 has 80 divisors (see below), whose sum is σ = 537704640. Its totient is φ = 47985696.

The previous prime is 189958757. The next prime is 189958801. The reversal of 189958770 is 77859981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9219 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (6721308).

Almost surely, 2189958770 is an apocalyptic number.

189958770 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 189958770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268852320).

189958770 is an abundant number, since it is smaller than the sum of its proper divisors (347745870).

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

189958770 is a wasteful number, since it uses less digits than its factorization.

189958770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The square root of 189958770 is about 13782.5531016572. The cubic root of 189958770 is about 574.8481211974.

The spelling of 189958770 in words is "one hundred eighty-nine million, nine hundred fifty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 12343 15390 24686 37029 61715 74058 111087 123430 185145 222174 234517 333261 370290 469034 555435 666522 703551 999783 1110870 1172585 1407102 1666305 1999566 2110653 2345170 3332610 3517755 4221306 4998915 6331959 7035510 9997830 10553265 12663918 18995877 21106530 31659795 37991754 63319590 94979385 189958770