Search a number
-
+
151901766 = 23217661751
BaseRepresentation
bin10010000110111…
…01011001000110
3101120211102001100
421003131121012
5302341324031
623023440530
73523100202
oct1103353106
9346742040
10151901766
1178821055
1242a56146
1325616703
1416261b02
15d507de6
hex90dd646

151901766 has 48 divisors (see below), whose sum is σ = 349472448. Its totient is φ = 47520000.

The previous prime is 151901759. The next prime is 151901833. The reversal of 151901766 is 667109151.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 151901766.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 201891 + ... + 202641.

It is an arithmetic number, because the mean of its divisors is an integer number (7280676).

Almost surely, 2151901766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151901766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174736224).

151901766 is an abundant number, since it is smaller than the sum of its proper divisors (197570682).

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

151901766 is a wasteful number, since it uses less digits than its factorization.

151901766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 151901766 is about 12324.8434472816. The cubic root of 151901766 is about 533.5653366493.

The spelling of 151901766 in words is "one hundred fifty-one million, nine hundred one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 661 751 1322 1502 1983 2253 3966 4506 5949 6759 11237 11898 12767 13518 22474 25534 33711 38301 67422 76602 101133 114903 202266 229806 496411 992822 1489233 2978466 4467699 8438987 8935398 16877974 25316961 50633922 75950883 151901766