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150004734 = 231119375361
BaseRepresentation
bin10001111000011…
…10001111111110
3101110021000210220
420330032033332
5301400122414
622515042210
73501006405
oct1074161776
9343230726
10150004734
1177745860
12422a0366
13251010c9
1415cca63c
15d280ca9
hex8f0e3fe

150004734 has 128 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 40435200.

The previous prime is 150004721. The next prime is 150004739. The reversal of 150004734 is 437400051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150004739) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2459064 + ... + 2459124.

It is an arithmetic number, because the mean of its divisors is an integer number (2862540).

Almost surely, 2150004734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150004734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

150004734 is an abundant number, since it is smaller than the sum of its proper divisors (216400386).

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

150004734 is a wasteful number, since it uses less digits than its factorization.

150004734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 150004734 is about 12247.6419771318. The cubic root of 150004734 is about 531.3348741166.

Adding to 150004734 its reverse (437400051), we get a palindrome (587404785).

The spelling of 150004734 in words is "one hundred fifty million, four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 37 38 53 57 61 66 74 106 111 114 122 159 183 209 222 318 366 407 418 583 627 671 703 814 1007 1159 1166 1221 1254 1342 1406 1749 1961 2013 2014 2109 2257 2318 2442 3021 3233 3477 3498 3922 4026 4218 4514 5883 6042 6466 6771 6954 7733 9699 11077 11766 12749 13542 15466 19398 21571 22154 23199 24827 25498 33231 35563 37259 38247 42883 43142 46398 49654 61427 64713 66462 71126 74481 74518 76494 85766 106689 111777 119621 122854 128649 129426 148962 184281 213378 223554 239242 257298 358863 368562 409849 471713 675697 717726 819698 943426 1229547 1315831 1351394 1415139 2027091 2272799 2459094 2631662 2830278 3947493 4054182 4545598 6818397 7894986 13636794 25000789 50001578 75002367 150004734