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150113640 = 233523137397
BaseRepresentation
bin10001111001010…
…00110101101000
3101110110120012110
420330220311220
5301412114030
622521242320
73501642045
oct1074506550
9343416173
10150113640
117780a666
12423333a0
132513b851
1415d181cc
15d2a31b0
hex8f28d68

150113640 has 128 divisors (see below), whose sum is σ = 474543360. Its totient is φ = 37914624.

The previous prime is 150113633. The next prime is 150113647. The reversal of 150113640 is 46311051.

It is an interprime number because it is at equal distance from previous prime (150113633) and next prime (150113647).

It is not an unprimeable number, because it can be changed into a prime (150113647) 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 31 ways as a sum of consecutive naturals, for example, 377922 + ... + 378318.

It is an arithmetic number, because the mean of its divisors is an integer number (3707370).

Almost surely, 2150113640 is an apocalyptic number.

150113640 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 150113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237271680).

150113640 is an abundant number, since it is smaller than the sum of its proper divisors (324429720).

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

150113640 is a wasteful number, since it uses less digits than its factorization.

150113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 150113640 is about 12252.0871691316. The cubic root of 150113640 is about 531.4634290764.

Adding to 150113640 its reverse (46311051), we get a palindrome (196424691).

The spelling of 150113640 in words is "one hundred fifty million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 137 138 184 230 274 276 345 397 411 460 548 552 685 690 794 822 920 1096 1191 1370 1380 1588 1644 1985 2055 2382 2740 2760 3151 3176 3288 3970 4110 4764 5480 5955 6302 7940 8220 9131 9453 9528 11910 12604 15755 15880 16440 18262 18906 23820 25208 27393 31510 36524 37812 45655 47265 47640 54389 54786 63020 73048 75624 91310 94530 108778 109572 126040 136965 163167 182620 189060 217556 219144 271945 273930 326334 365240 378120 435112 543890 547860 652668 815835 1087780 1095720 1250947 1305336 1631670 2175560 2501894 3263340 3752841 5003788 6254735 6526680 7505682 10007576 12509470 15011364 18764205 25018940 30022728 37528410 50037880 75056820 150113640