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150681414 = 23132181821
BaseRepresentation
bin10001111101100…
…11011101000110
3101111112102001010
420332303131012
5302033301124
622541343050
73506525262
oct1076633506
9344472033
10150681414
11780681a4
1242567a86
13252aa100
14160250a2
15d366529
hex8fb3746

150681414 has 48 divisors (see below), whose sum is σ = 328530384. Its totient is φ = 46051200.

The previous prime is 150681409. The next prime is 150681431. The reversal of 150681414 is 414186051.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183124 + ... + 183944.

It is an arithmetic number, because the mean of its divisors is an integer number (6844383).

Almost surely, 2150681414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150681414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164265192).

150681414 is an abundant number, since it is smaller than the sum of its proper divisors (177848970).

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

150681414 is a wasteful number, since it uses less digits than its factorization.

150681414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 150681414 is about 12275.2358022158. The cubic root of 150681414 is about 532.1326364786.

It can be divided in two parts, 150 and 681414, that multiplied together give a square (102212100 = 101102).

The spelling of 150681414 in words is "one hundred fifty million, six hundred eighty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 181 338 362 507 543 821 1014 1086 1642 2353 2463 4706 4926 7059 10673 14118 21346 30589 32019 61178 64038 91767 138749 148601 183534 277498 297202 416247 445803 832494 891606 1931813 3863626 5795439 11590878 25113569 50227138 75340707 150681414