Search a number
-
+
150886152 = 23341713697
BaseRepresentation
bin10001111111001…
…01011100001000
3101111220210220000
420333211130020
5302111324102
622550003000
73511340214
oct1077453410
9344823800
10150886152
1178197aaa
1242646460
132534c361
1416079944
15d3a701c
hex8fe5708

150886152 has 80 divisors (see below), whose sum is σ = 447513660. Its totient is φ = 47333376.

The previous prime is 150886133. The next prime is 150886171. The reversal of 150886152 is 251688051.

150886152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150886133) and next prime (150886171).

It can be written as a sum of positive squares in 2 ways, for example, as 146748996 + 4137156 = 12114^2 + 2034^2 .

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 19 ways as a sum of consecutive naturals, for example, 4168 + ... + 17864.

Almost surely, 2150886152 is an apocalyptic number.

150886152 is a gapful number since it is divisible by the number (12) 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 150886152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223756830).

150886152 is an abundant number, since it is smaller than the sum of its proper divisors (296627508).

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

150886152 is a wasteful number, since it uses less digits than its factorization.

150886152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 150886152 is about 12283.5724445293. The cubic root of 150886152 is about 532.3735387060.

The spelling of 150886152 in words is "one hundred fifty million, eight hundred eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 13697 27394 41091 54788 82182 109576 123273 164364 232849 246546 328728 369819 465698 493092 698547 739638 931396 986184 1109457 1397094 1479276 1862792 2095641 2218914 2794188 2958552 4191282 4437828 5588376 6286923 8382564 8875656 12573846 16765128 18860769 25147692 37721538 50295384 75443076 150886152