Search a number
-
+
151934550 = 23522347937
BaseRepresentation
bin10010000111001…
…01011001010110
3101120220002000120
421003211121112
5302343401200
623024252410
73523264605
oct1103453126
9346802016
10151934550
1178843749
1242a71106
1325628601
141626da3c
15d5129a0
hex90e5656

151934550 has 96 divisors (see below), whose sum is σ = 401974272. Its totient is φ = 37889280.

The previous prime is 151934537. The next prime is 151934551. The reversal of 151934550 is 55439151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151934551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161682 + ... + 162618.

It is an arithmetic number, because the mean of its divisors is an integer number (4187232).

Almost surely, 2151934550 is an apocalyptic number.

151934550 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 151934550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200987136).

151934550 is an abundant number, since it is smaller than the sum of its proper divisors (250039722).

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

151934550 is a wasteful number, since it uses less digits than its factorization.

151934550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 151934550 is about 12326.1733721378. The cubic root of 151934550 is about 533.6037192351.

The spelling of 151934550 in words is "one hundred fifty-one million, nine hundred thirty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 47 50 69 75 94 115 138 141 150 230 235 282 345 470 575 690 705 937 1081 1150 1175 1410 1725 1874 2162 2350 2811 3243 3450 3525 4685 5405 5622 6486 7050 9370 10810 14055 16215 21551 23425 27025 28110 32430 43102 44039 46850 54050 64653 70275 81075 88078 107755 129306 132117 140550 162150 215510 220195 264234 323265 440390 538775 646530 660585 1012897 1077550 1100975 1321170 1616325 2025794 2201950 3038691 3232650 3302925 5064485 6077382 6605850 10128970 15193455 25322425 30386910 50644850 75967275 151934550