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146072190 = 235111923297
BaseRepresentation
bin10001011010011…
…10001001111110
3101011212020101010
420231032021332
5244343302230
622254500050
73422410305
oct1055161176
9334766333
10146072190
11754aa220
1240b04626
1324355164
141558543c
15cc559b0
hex8b4e27e

146072190 has 64 divisors (see below), whose sum is σ = 402589440. Its totient is φ = 33546240.

The previous prime is 146072137. The next prime is 146072191. The reversal of 146072190 is 91270641.

It is a happy number.

It is a super-2 number, since 2×1460721902 = 42674169382792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146072191) 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, 5379 + ... + 17918.

It is an arithmetic number, because the mean of its divisors is an integer number (6290460).

Almost surely, 2146072190 is an apocalyptic number.

146072190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146072190 is an abundant number, since it is smaller than the sum of its proper divisors (256517250).

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

146072190 is a wasteful number, since it uses less digits than its factorization.

146072190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 146072190 is about 12086.0328478786. The cubic root of 146072190 is about 526.6505153586.

The spelling of 146072190 in words is "one hundred forty-six million, seventy-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 23297 46594 69891 116485 139782 232970 256267 349455 442643 512534 698910 768801 885286 1281335 1327929 1537602 2213215 2562670 2655858 3844005 4426430 4869073 6639645 7688010 9738146 13279290 14607219 24345365 29214438 48690730 73036095 146072190