Search a number
-
+
151850000 = 24553037
BaseRepresentation
bin10010000110100…
…00110000010000
3101120201210001002
421003100300100
5302333200000
623022401132
73522463241
oct1103206020
9346653032
10151850000
1178796175
1242a301a8
13255c8c93
141624acc8
15d4e78d5
hex90d0c10

151850000 has 60 divisors (see below), whose sum is σ = 367859268. Its totient is φ = 60720000.

The previous prime is 151849991. The next prime is 151850021. The reversal of 151850000 is 58151.

It can be written as a sum of positive squares in 6 ways, for example, as 100240144 + 51609856 = 10012^2 + 7184^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48482 + ... + 51518.

Almost surely, 2151850000 is an apocalyptic number.

151850000 is a gapful number since it is divisible by the number (10) 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 151850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183929634).

151850000 is an abundant number, since it is smaller than the sum of its proper divisors (216009268).

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

151850000 is an frugal number, since it uses more digits than its factorization.

151850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 151850000 is about 12322.7432010896. The cubic root of 151850000 is about 533.5047192250.

The spelling of 151850000 in words is "one hundred fifty-one million, eight hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3037 3125 5000 6074 6250 10000 12148 12500 15185 24296 25000 30370 48592 50000 60740 75925 121480 151850 242960 303700 379625 607400 759250 1214800 1518500 1898125 3037000 3796250 6074000 7592500 9490625 15185000 18981250 30370000 37962500 75925000 151850000