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151036020 = 223251276607
BaseRepresentation
bin10010000000010…
…10000001110100
3101112012102110200
421000022001310
5302131123040
622553120500
73512533152
oct1100120164
9345172420
10151036020
117828a663
12426b9130
13253a2635
14160b83d2
15d3d6630
hex900a074

151036020 has 72 divisors (see below), whose sum is σ = 461819904. Its totient is φ = 39953088.

The previous prime is 151035991. The next prime is 151036021. The reversal of 151036020 is 20630151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151035984 and 151036002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151036021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19557 + ... + 26163.

Almost surely, 2151036020 is an apocalyptic number.

151036020 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 151036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230909952).

151036020 is an abundant number, since it is smaller than the sum of its proper divisors (310783884).

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

151036020 is a wasteful number, since it uses less digits than its factorization.

151036020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151036020 is about 12289.6712730650. The cubic root of 151036020 is about 532.5497407745.

Adding to 151036020 its reverse (20630151), we get a palindrome (171666171).

The spelling of 151036020 in words is "one hundred fifty-one million, thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 6607 7620 11430 13214 19821 22860 26428 33035 39642 59463 66070 79284 99105 118926 132140 198210 237852 297315 396420 594630 839089 1189260 1678178 2517267 3356356 4195445 5034534 7551801 8390890 10069068 12586335 15103602 16781780 25172670 30207204 37759005 50345340 75518010 151036020