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150415540 = 225114331579
BaseRepresentation
bin10001111011100…
…10100010110100
3101111000220022221
420331302202310
5302001244130
622531532124
73504340162
oct1075624264
9344026287
10150415540
11779a6470
124245a044
13252160a2
1415d96232
15d31287a
hex8f728b4

150415540 has 48 divisors (see below), whose sum is σ = 345602880. Its totient is φ = 54535680.

The previous prime is 150415493. The next prime is 150415567. The reversal of 150415540 is 45514051.

It is a happy number.

150415540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94471 + ... + 96049.

It is an arithmetic number, because the mean of its divisors is an integer number (7200060).

Almost surely, 2150415540 is an apocalyptic number.

150415540 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 150415540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172801440).

150415540 is an abundant number, since it is smaller than the sum of its proper divisors (195187340).

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

150415540 is a wasteful number, since it uses less digits than its factorization.

150415540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 150415540 is about 12264.4013306806. The cubic root of 150415540 is about 531.8194734870.

Adding to 150415540 its reverse (45514051), we get a palindrome (195929591).

The spelling of 150415540 in words is "one hundred fifty million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1579 1732 2165 3158 4330 4763 6316 7895 8660 9526 15790 17369 19052 23815 31580 34738 47630 69476 86845 95260 173690 347380 683707 1367414 2734828 3418535 6837070 7520777 13674140 15041554 30083108 37603885 75207770 150415540