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151296390 = 2335780051
BaseRepresentation
bin10010000010010…
…01100110000110
3101112200122122000
421001021212012
5302212441030
623002450130
73514666230
oct1101114606
9345618560
10151296390
1178448243
1242803946
1325463cbb
1416145250
15d438860
hex9049986

151296390 has 64 divisors (see below), whose sum is σ = 461099520. Its totient is φ = 34581600.

The previous prime is 151296389. The next prime is 151296401. The reversal of 151296390 is 93692151.

151296390 is a `hidden beast` number, since 1 + 5 + 12 + 9 + 639 + 0 = 666.

151296390 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38136 + ... + 41915.

It is an arithmetic number, because the mean of its divisors is an integer number (7204680).

Almost surely, 2151296390 is an apocalyptic number.

151296390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151296390 is an abundant number, since it is smaller than the sum of its proper divisors (309803130).

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

151296390 is a wasteful number, since it uses less digits than its factorization.

151296390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80074 (or 80068 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 151296390 is about 12300.2597533548. The cubic root of 151296390 is about 532.8555847577.

The spelling of 151296390 in words is "one hundred fifty-one million, two hundred ninety-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 80051 160102 240153 400255 480306 560357 720459 800510 1120714 1200765 1440918 1681071 2161377 2401530 2801785 3362142 3602295 4322754 5043213 5603570 7204590 8405355 10086426 10806885 15129639 16810710 21613770 25216065 30259278 50432130 75648195 151296390