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151030000 = 2454111373
BaseRepresentation
bin10010000000010…
…00100011110000
3101112012010012201
421000020203300
5302130430000
622553032544
73512506462
oct1100104360
9345163181
10151030000
1178286090
12426b5754
132539c984
14160b6132
15d3d496a
hex90088f0

151030000 has 100 divisors (see below), whose sum is σ = 399190968. Its totient is φ = 54880000.

The previous prime is 151029979. The next prime is 151030007. The reversal of 151030000 is 30151.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151030007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109314 + ... + 110686.

Almost surely, 2151030000 is an apocalyptic number.

151030000 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 151030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199595484).

151030000 is an abundant number, since it is smaller than the sum of its proper divisors (248160968).

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

151030000 is a wasteful number, since it uses less digits than its factorization.

151030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 151030000 is about 12289.4263495088. The cubic root of 151030000 is about 532.5426652172.

Adding to 151030000 its reverse (30151), we get a palindrome (151060151).

The spelling of 151030000 in words is "one hundred fifty-one million, thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1373 1375 2000 2200 2500 2746 2750 4400 5000 5492 5500 6865 6875 10000 10984 11000 13730 13750 15103 21968 22000 27460 27500 30206 34325 54920 55000 60412 68650 75515 109840 110000 120824 137300 151030 171625 241648 274600 302060 343250 377575 549200 604120 686500 755150 858125 1208240 1373000 1510300 1716250 1887875 2746000 3020600 3432500 3775750 6041200 6865000 7551500 9439375 13730000 15103000 18878750 30206000 37757500 75515000 151030000