[go: up one dir, main page]

Search a number
-
+
150134670 = 232571671427
BaseRepresentation
bin10001111001011…
…01111110001110
3101110111122001100
420330231332032
5301413302140
622521523530
73502060260
oct1074557616
9343448040
10150134670
1177824444
12423435a6
13251482aa
1415d21b30
15d2a9530
hex8f2df8e

150134670 has 96 divisors (see below), whose sum is σ = 449100288. Its totient is φ = 34087104.

The previous prime is 150134657. The next prime is 150134717. The reversal of 150134670 is 76431051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104497 + ... + 105923.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128).

Almost surely, 2150134670 is an apocalyptic number.

150134670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150134670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

150134670 is an abundant number, since it is smaller than the sum of its proper divisors (298965618).

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

150134670 is a wasteful number, since it uses less digits than its factorization.

150134670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150134670 is about 12252.9453601981. The cubic root of 150134670 is about 531.4882461728.

It can be divided in two parts, 15013 and 4670, that added together give a 9-th power (19683 = 39).

The spelling of 150134670 in words is "one hundred fifty million, one hundred thirty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 167 210 315 334 501 630 835 1002 1169 1427 1503 1670 2338 2505 2854 3006 3507 4281 5010 5845 7014 7135 7515 8562 9989 10521 11690 12843 14270 15030 17535 19978 21042 21405 25686 29967 35070 42810 49945 52605 59934 64215 89901 99890 105210 128430 149835 179802 238309 299670 449505 476618 714927 899010 1191545 1429854 1668163 2144781 2383090 3336326 3574635 4289562 5004489 7149270 8340815 10008978 10723905 15013467 16681630 21447810 25022445 30026934 50044890 75067335 150134670