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151041420 = 223254911709
BaseRepresentation
bin10010000000010…
…11010110001100
3101112012200212200
421000023112030
5302131311140
622553201500
73512554665
oct1100132614
9345180780
10151041420
1178293722
1242700290
13253a4c2a
14160ba36c
15d3d8030
hex900b58c

151041420 has 72 divisors (see below), whose sum is σ = 459360720. Its totient is φ = 40172160.

The previous prime is 151041403. The next prime is 151041421. The reversal of 151041420 is 24140151.

151041420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 151041393 and 151041402.

It is not an unprimeable number, because it can be changed into a prime (151041421) 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, 87526 + ... + 89234.

It is an arithmetic number, because the mean of its divisors is an integer number (6380010).

Almost surely, 2151041420 is an apocalyptic number.

151041420 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 151041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229680360).

151041420 is an abundant number, since it is smaller than the sum of its proper divisors (308319300).

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

151041420 is a wasteful number, since it uses less digits than its factorization.

151041420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151041420 is about 12289.8909677832. The cubic root of 151041420 is about 532.5560874599.

Adding to 151041420 its reverse (24140151), we get a palindrome (175181571).

The spelling of 151041420 in words is "one hundred fifty-one million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 491 982 1473 1709 1964 2455 2946 3418 4419 4910 5127 5892 6836 7365 8545 8838 9820 10254 14730 15381 17090 17676 20508 22095 25635 29460 30762 34180 44190 51270 61524 76905 88380 102540 153810 307620 839119 1678238 2517357 3356476 4195595 5034714 7552071 8391190 10069428 12586785 15104142 16782380 25173570 30208284 37760355 50347140 75520710 151041420