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150296300 = 2252711131149
BaseRepresentation
bin10001111010101…
…01011011101100
3101110210211202122
420331111123230
5301433440200
622525212112
73503332430
oct1075253354
9343724678
10150296300
1177924920
1242401038
13251a3a2b
1415d649c0
15d2dc385
hex8f556ec

150296300 has 144 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 46176000.

The previous prime is 150296297. The next prime is 150296351. The reversal of 150296300 is 3692051.

It is a self number, because there is not a number n which added to its sum of digits gives 150296300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008626 + ... + 1008774.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2150296300 is an apocalyptic number.

150296300 is a gapful number since it is divisible by the number (10) 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 150296300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

150296300 is an abundant number, since it is smaller than the sum of its proper divisors (262177300).

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

150296300 is a wasteful number, since it uses less digits than its factorization.

150296300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 150296300 is about 12259.5391430510. The cubic root of 150296300 is about 531.6789053021.

The spelling of 150296300 in words is "one hundred fifty million, two hundred ninety-six thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 131 140 149 154 175 220 262 275 298 308 350 385 524 550 596 655 700 745 770 917 1043 1100 1310 1441 1490 1540 1639 1834 1925 2086 2620 2882 2980 3275 3278 3668 3725 3850 4172 4585 5215 5764 6550 6556 7205 7450 7700 8195 9170 10087 10430 11473 13100 14410 14900 16390 18340 19519 20174 20860 22925 22946 26075 28820 32780 36025 39038 40348 40975 45850 45892 50435 52150 57365 72050 78076 81950 91700 97595 100870 104300 114730 136633 144100 163900 195190 201740 214709 229460 252175 273266 286825 390380 429418 487975 504350 546532 573650 683165 858836 975950 1008700 1073545 1147300 1366330 1502963 1951900 2147090 2732660 3005926 3415825 4294180 5367725 6011852 6831650 7514815 10735450 13663300 15029630 21470900 30059260 37574075 75148150 150296300