Search a number
-
+
151900 = 22527231
BaseRepresentation
bin100101000101011100
321201100221
4211011130
514330100
63131124
71201600
oct450534
9251327
10151900
11a4141
1273aa4
13541a8
143d500
153001a
hex2515c

151900 has 54 divisors (see below), whose sum is σ = 395808. Its totient is φ = 50400.

The previous prime is 151897. The next prime is 151901. The reversal of 151900 is 9151.

Adding to 151900 its reverse (9151), we get a 5-th power (161051 = 115).

It is a super-2 number, since 2×1519002 = 46147220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4885 + ... + 4915.

2151900 is an apocalyptic number.

151900 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 151900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

151900 is an abundant number, since it is smaller than the sum of its proper divisors (243908).

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

151900 is a wasteful number, since it uses less digits than its factorization.

151900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 151900 is about 389.7435053981. The cubic root of 151900 is about 53.3563268909.

The spelling of 151900 in words is "one hundred fifty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 140 155 175 196 217 245 310 350 434 490 620 700 775 868 980 1085 1225 1519 1550 2170 2450 3038 3100 4340 4900 5425 6076 7595 10850 15190 21700 30380 37975 75950 151900