Search a number
-
+
150312680 = 2357717561
BaseRepresentation
bin10001111010110…
…01011011101000
3101110211200020022
420331121123220
5301440001210
622525420012
73503431250
oct1075313350
9343750208
10150312680
1177936161
124240a608
13251ab31b
1415d6a960
15d2e2155
hex8f596e8

150312680 has 64 divisors (see below), whose sum is σ = 392014080. Its totient is φ = 50803200.

The previous prime is 150312647. The next prime is 150312689. The reversal of 150312680 is 86213051.

It is not an unprimeable number, because it can be changed into a prime (150312689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16100 + ... + 23660.

It is an arithmetic number, because the mean of its divisors is an integer number (6125220).

Almost surely, 2150312680 is an apocalyptic number.

150312680 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 150312680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196007040).

150312680 is an abundant number, since it is smaller than the sum of its proper divisors (241701400).

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

150312680 is a wasteful number, since it uses less digits than its factorization.

150312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 150312680 is about 12260.2071760635. The cubic root of 150312680 is about 531.6982195591.

The spelling of 150312680 in words is "one hundred fifty million, three hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 7561 9940 15122 19880 30244 37805 52927 60488 75610 105854 151220 211708 264635 302440 423416 529270 536831 1058540 1073662 2117080 2147324 2684155 3757817 4294648 5368310 7515634 10736620 15031268 18789085 21473240 30062536 37578170 75156340 150312680