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190120464 = 24328315907
BaseRepresentation
bin10110101010100…
…00001000010000
3111020202010020200
423111100020100
5342132323324
630510535200
74465666032
oct1325201020
9436663220
10190120464
1198355356
1253807500
1330508521
141b36dc52
1511a56ec9
hexb550210

190120464 has 60 divisors (see below), whose sum is σ = 538517616. Its totient is φ = 62606016.

The previous prime is 190120459. The next prime is 190120493. The reversal of 190120464 is 464021091.

190120464 is a `hidden beast` number, since 190 + 12 + 0 + 464 = 666.

It is a super-2 number, since 2×1901204642 = 72291581663150592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3999 + ... + 19905.

Almost surely, 2190120464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269258808).

190120464 is an abundant number, since it is smaller than the sum of its proper divisors (348397152).

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

190120464 is a wasteful number, since it uses less digits than its factorization.

190120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16004 (or 15995 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 190120464 is about 13788.4177482407. The cubic root of 190120464 is about 575.0111796188.

The spelling of 190120464 in words is "one hundred ninety million, one hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 15907 31814 47721 63628 95442 127256 143163 190884 254512 286326 381768 572652 763536 1145304 1320281 2290608 2640562 3960843 5281124 7921686 10562248 11882529 15843372 21124496 23765058 31686744 47530116 63373488 95060232 190120464