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151006300 = 22521924789
BaseRepresentation
bin10010000000000…
…10110001011100
3101112010220200221
421000002301130
5302124200200
622552331124
73512350414
oct1100026134
9345126627
10151006300
117826a2a5
12426a3aa4
1325391c53
14160ab644
15d3cc91a
hex9002c5c

151006300 has 108 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 55376640.

The previous prime is 151006283. The next prime is 151006327. The reversal of 151006300 is 3600151.

151006300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1696656 + ... + 1696744.

It is an arithmetic number, because the mean of its divisors is an integer number (3307080).

Almost surely, 2151006300 is an apocalyptic number.

151006300 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 151006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

151006300 is an abundant number, since it is smaller than the sum of its proper divisors (206158340).

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

151006300 is a wasteful number, since it uses less digits than its factorization.

151006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 151006300 is about 12288.4620681353. The cubic root of 151006300 is about 532.5148077906.

Adding to 151006300 its reverse (3600151), we get a palindrome (154606451).

The spelling of 151006300 in words is "one hundred fifty-one million, six thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 89 94 95 100 178 188 190 235 356 361 380 445 470 475 722 890 893 940 950 1175 1444 1691 1780 1786 1805 1900 2225 2350 3382 3572 3610 4183 4450 4465 4700 6764 7220 8366 8455 8900 8930 9025 16732 16910 16967 17860 18050 20915 22325 32129 33820 33934 36100 41830 42275 44650 64258 67868 79477 83660 84550 84835 89300 104575 128516 158954 160645 169100 169670 209150 317908 321290 339340 397385 418300 424175 642580 794770 803225 848350 1510063 1589540 1606450 1696700 1986925 3020126 3212900 3973850 6040252 7550315 7947700 15100630 30201260 37751575 75503150 151006300