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151998990 = 235112133221
BaseRepresentation
bin10010000111101…
…01001000001110
3101121000100102020
421003311020032
5302402431430
623025511010
73523653513
oct1103651016
9347010366
10151998990
1178888100
1242aa2466
132564ba40
141628930a
15d526b10
hex90f520e

151998990 has 96 divisors (see below), whose sum is σ = 431954208. Its totient is φ = 34003200.

The previous prime is 151998953. The next prime is 151998991. The reversal of 151998990 is 99899151.

It is a super-2 number, since 2×1519989902 = 46207385922040200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151998991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45580 + ... + 48800.

It is an arithmetic number, because the mean of its divisors is an integer number (4499523).

Almost surely, 2151998990 is an apocalyptic number.

151998990 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 151998990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215977104).

151998990 is an abundant number, since it is smaller than the sum of its proper divisors (279955218).

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

151998990 is a wasteful number, since it uses less digits than its factorization.

151998990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 51.

The square root of 151998990 is about 12328.7870449611. The cubic root of 151998990 is about 533.6791476867.

The spelling of 151998990 in words is "one hundred fifty-one million, nine hundred ninety-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 1210 1430 1573 1815 2145 3146 3221 3630 4290 4719 6442 7865 9438 9663 15730 16105 19326 23595 32210 35431 41873 47190 48315 70862 83746 96630 106293 125619 177155 209365 212586 251238 354310 389741 418730 460603 531465 628095 779482 921206 1062930 1169223 1256190 1381809 1948705 2303015 2338446 2763618 3897410 4606030 5066633 5846115 6909045 10133266 11692230 13818090 15199899 25333165 30399798 50666330 75999495 151998990