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190909152 = 25327281337
BaseRepresentation
bin10110110000100…
…00101011100000
3111022020012010100
423120100223200
5342333043102
630535502400
74505462310
oct1330205340
9438205110
10190909152
1198843965
1253b27a00
13307234c5
141b4d7440
1511b60a1c
hexb610ae0

190909152 has 144 divisors (see below), whose sum is σ = 624510432. Its totient is φ = 54190080.

The previous prime is 190909111. The next prime is 190909153. The reversal of 190909152 is 251909091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190909153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566328 + ... + 566664.

It is an arithmetic number, because the mean of its divisors is an integer number (4336878).

Almost surely, 2190909152 is an apocalyptic number.

190909152 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 190909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312255216).

190909152 is an abundant number, since it is smaller than the sum of its proper divisors (433601280).

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

190909152 is a wasteful number, since it uses less digits than its factorization.

190909152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 190909152 is about 13816.9878048727. The cubic root of 190909152 is about 575.8052003311.

The spelling of 190909152 in words is "one hundred ninety million, nine hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 281 288 336 337 504 562 672 674 843 1008 1011 1124 1348 1686 1967 2016 2022 2248 2359 2529 2696 3033 3372 3934 4044 4496 4718 5058 5392 5901 6066 6744 7077 7868 8088 8992 9436 10116 10784 11802 12132 13488 14154 15736 16176 17703 18872 20232 21231 23604 24264 26976 28308 31472 32352 35406 37744 40464 42462 47208 48528 56616 62944 70812 75488 80928 84924 94416 94697 97056 113232 141624 169848 188832 189394 226464 283248 284091 339696 378788 566496 568182 662879 679392 757576 852273 1136364 1325758 1515152 1704546 1988637 2272728 2651516 3030304 3409092 3977274 4545456 5303032 5965911 6818184 7954548 9090912 10606064 11931822 13636368 15909096 21212128 23863644 27272736 31818192 47727288 63636384 95454576 190909152