Search a number
-
+
151050336 = 25313112011
BaseRepresentation
bin10010000000011…
…01100001100000
3101112020011002220
421000031201200
5302132102321
622553311040
73512622663
oct1100154140
9345204086
10151050336
117829a398
1242705480
13253a8cc8
14160bd6da
15d3da9c6
hex900d860

151050336 has 48 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 49961600.

The previous prime is 151050329. The next prime is 151050343. The reversal of 151050336 is 633050151.

It is an interprime number because it is at equal distance from previous prime (151050329) and next prime (151050343).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6571 + ... + 18581.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2151050336 is an apocalyptic number.

151050336 is a gapful number since it is divisible by the number (16) 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 151050336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

151050336 is an abundant number, since it is smaller than the sum of its proper divisors (248516832).

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

151050336 is a wasteful number, since it uses less digits than its factorization.

151050336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12155 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 151050336 is about 12290.2536995784. The cubic root of 151050336 is about 532.5665662117.

The spelling of 151050336 in words is "one hundred fifty-one million, fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12011 12576 24022 36033 48044 72066 96088 144132 192176 288264 384352 576528 1153056 1573441 3146882 4720323 6293764 9440646 12587528 18881292 25175056 37762584 50350112 75525168 151050336