Search a number
-
+
150604480 = 2651341883
BaseRepresentation
bin10001111101000…
…00101011000000
3101111101111111201
420332200223000
5302023320410
622535550544
73506055055
oct1076405300
9344344451
10150604480
1178015414
124252b454
13252810a0
141600502c
15d34d83a
hex8fa0ac0

150604480 has 112 divisors (see below), whose sum is σ = 396081504. Its totient is φ = 54190080.

The previous prime is 150604477. The next prime is 150604499. The reversal of 150604480 is 84406051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170119 + ... + 171001.

It is an arithmetic number, because the mean of its divisors is an integer number (3536442).

Almost surely, 2150604480 is an apocalyptic number.

150604480 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 150604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198040752).

150604480 is an abundant number, since it is smaller than the sum of its proper divisors (245477024).

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

150604480 is a wasteful number, since it uses less digits than its factorization.

150604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 150604480 is about 12272.1016944939. The cubic root of 150604480 is about 532.0420567125.

The spelling of 150604480 in words is "one hundred fifty million, six hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 130 160 164 205 208 260 320 328 410 416 520 533 656 820 832 883 1040 1066 1312 1640 1766 2080 2132 2624 2665 3280 3532 4160 4264 4415 5330 6560 7064 8528 8830 10660 11479 13120 14128 17056 17660 21320 22958 28256 34112 35320 36203 42640 45916 56512 57395 70640 72406 85280 91832 114790 141280 144812 170560 181015 183664 229580 282560 289624 362030 367328 459160 470639 579248 724060 734656 918320 941278 1158496 1448120 1836640 1882556 2316992 2353195 2896240 3673280 3765112 4706390 5792480 7530224 9412780 11584960 15060448 18825560 30120896 37651120 75302240 150604480