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190106832 = 24329413331
BaseRepresentation
bin10110101010011…
…00110011010000
3111020201102112210
423111030303100
5342131404312
630510352120
74465611216
oct1325146320
9436642483
10190106832
1198346093
12537bb640
1330502266
141b368cb6
1511a52e3c
hexb54ccd0

190106832 has 80 divisors (see below), whose sum is σ = 520591680. Its totient is φ = 59673600.

The previous prime is 190106821. The next prime is 190106843. The reversal of 190106832 is 238601091.

It is an interprime number because it is at equal distance from previous prime (190106821) and next prime (190106843).

It is a super-2 number, since 2×1901068322 = 72281215146152448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 190106832.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 55407 + ... + 58737.

It is an arithmetic number, because the mean of its divisors is an integer number (6507396).

Almost surely, 2190106832 is an apocalyptic number.

190106832 is a gapful number since it is divisible by the number (12) 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 190106832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260295840).

190106832 is an abundant number, since it is smaller than the sum of its proper divisors (330484848).

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

190106832 is a wasteful number, since it uses less digits than its factorization.

190106832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 190106832 is about 13787.9234114496. The cubic root of 190106832 is about 574.9974361574.

The spelling of 190106832 in words is "one hundred ninety million, one hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2378 3331 3567 4756 6662 7134 9512 9993 13324 14268 19024 19986 26648 28536 39972 53296 57072 79944 96599 136571 159888 193198 273142 289797 386396 409713 546284 579594 772792 819426 1092568 1159188 1545584 1638852 2185136 2318376 3277704 3960559 4636752 6555408 7921118 11881677 15842236 23763354 31684472 47526708 63368944 95053416 190106832