Search a number
-
+
151000020 = 22325838889
BaseRepresentation
bin10010000000000…
…01001111010100
3101112010121002100
421000001033110
5302124000040
622552242100
73512323203
oct1100011724
9345117070
10151000020
1178265606
12426a0330
132538c132
14160a923a
15d3cab30
hex90013d4

151000020 has 36 divisors (see below), whose sum is σ = 458033940. Its totient is φ = 40266624.

The previous prime is 150999983. The next prime is 151000033. The reversal of 151000020 is 20000151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 130096836 = 4572^2 + 11406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 150999966 and 151000011.

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, 419265 + ... + 419624.

It is an arithmetic number, because the mean of its divisors is an integer number (12723165).

Almost surely, 2151000020 is an apocalyptic number.

151000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151000020 is an abundant number, since it is smaller than the sum of its proper divisors (307033920).

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

151000020 is a wasteful number, since it uses less digits than its factorization.

151000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838904 (or 838899 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 151000020 is about 12288.2065412329. The cubic root of 151000020 is about 532.5074256718.

Adding to 151000020 its reverse (20000151), we get a palindrome (171000171).

The spelling of 151000020 in words is "one hundred fifty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 838889 1677778 2516667 3355556 4194445 5033334 7550001 8388890 10066668 12583335 15100002 16777780 25166670 30200004 37750005 50333340 75500010 151000020