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151385490 = 23355371149
BaseRepresentation
bin10010000010111…
…11010110010010
3101112212011212000
421001133112102
5302223313430
623004414430
73515520054
oct1101372622
9345764760
10151385490
11784a9183
1242847416
1325495719
14161698d4
15d454e60
hex905f592

151385490 has 128 divisors (see below), whose sum is σ = 419904000. Its totient is φ = 38787840.

The previous prime is 151385467. The next prime is 151385497. The reversal of 151385490 is 94583151.

151385490 is a `hidden beast` number, since 1 + 513 + 8 + 54 + 90 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151385497) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1015936 + ... + 1016084.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 2151385490 is an apocalyptic number.

151385490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151385490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209952000).

151385490 is an abundant number, since it is smaller than the sum of its proper divisors (268518510).

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

151385490 is a wasteful number, since it uses less digits than its factorization.

151385490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 151385490 is about 12303.8810950041. The cubic root of 151385490 is about 532.9601656087.

It can be divided in two parts, 151 and 385490, that added together give a square (385641 = 6212).

The spelling of 151385490 in words is "one hundred fifty-one million, three hundred eighty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 71 90 106 135 142 149 159 213 265 270 298 318 355 426 447 477 530 639 710 745 795 894 954 1065 1278 1341 1431 1490 1590 1917 2130 2235 2385 2682 2862 3195 3763 3834 4023 4470 4770 6390 6705 7155 7526 7897 8046 9585 10579 11289 13410 14310 15794 18815 19170 20115 21158 22578 23691 31737 33867 37630 39485 40230 47382 52895 56445 63474 67734 71073 78970 95211 101601 105790 112890 118455 142146 158685 169335 190422 203202 213219 236910 285633 317370 338670 355365 426438 476055 508005 560687 571266 710730 952110 1016010 1066095 1121374 1428165 1682061 2132190 2803435 2856330 3364122 5046183 5606870 8410305 10092366 15138549 16820610 25230915 30277098 50461830 75692745 151385490