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150947820 = 22335443631
BaseRepresentation
bin10001111111101…
…00011111101100
3101112000221111000
420333310133230
5302120312240
622551200300
73512015052
oct1077643754
9345027430
10150947820
117822a371
1242676090
132537144a
14160941d2
15d3ba430
hex8ff47ec

150947820 has 96 divisors (see below), whose sum is σ = 471421440. Its totient is φ = 40098240.

The previous prime is 150947791. The next prime is 150947831. The reversal of 150947820 is 28749051.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 238905 + ... + 239535.

It is an arithmetic number, because the mean of its divisors is an integer number (4910640).

Almost surely, 2150947820 is an apocalyptic number.

150947820 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 150947820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235710720).

150947820 is an abundant number, since it is smaller than the sum of its proper divisors (320473620).

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

150947820 is a wasteful number, since it uses less digits than its factorization.

150947820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150947820 is about 12286.0823699013. The cubic root of 150947820 is about 532.4460568249.

The spelling of 150947820 in words is "one hundred fifty million, nine hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 443 540 631 886 1262 1329 1772 1893 2215 2524 2658 3155 3786 3987 4430 5316 5679 6310 6645 7572 7974 8860 9465 11358 11961 12620 13290 15948 17037 18930 19935 22716 23922 26580 28395 34074 37860 39870 47844 56790 59805 68148 79740 85185 113580 119610 170370 239220 279533 340740 559066 838599 1118132 1397665 1677198 2515797 2795330 3354396 4192995 5031594 5590660 7547391 8385990 10063188 12578985 15094782 16771980 25157970 30189564 37736955 50315940 75473910 150947820