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151441420 = 225137379101
BaseRepresentation
bin10010000011011…
…01000000001100
3101112222000120111
421001231000030
5302232111140
623005525404
73516142114
oct1101550014
9345860514
10151441420
11785371a9
1242873864
13254b5010
1416182044
15d4667ea
hex906d00c

151441420 has 96 divisors (see below), whose sum is σ = 355057920. Its totient is φ = 53913600.

The previous prime is 151441387. The next prime is 151441427. The reversal of 151441420 is 24144151.

It is a junction number, because it is equal to n+sod(n) for n = 151441391 and 151441400.

It is not an unprimeable number, because it can be changed into a prime (151441427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499370 + ... + 1499470.

It is an arithmetic number, because the mean of its divisors is an integer number (3698520).

Almost surely, 2151441420 is an apocalyptic number.

151441420 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 151441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177528960).

151441420 is an abundant number, since it is smaller than the sum of its proper divisors (203616500).

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

151441420 is a wasteful number, since it uses less digits than its factorization.

151441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 151441420 is about 12306.1537451797. The cubic root of 151441420 is about 533.0257923119.

Adding to 151441420 its reverse (24144151), we get a palindrome (175585571).

The spelling of 151441420 in words is "one hundred fifty-one million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 79 101 130 146 158 202 260 292 316 365 395 404 505 730 790 949 1010 1027 1313 1460 1580 1898 2020 2054 2626 3796 4108 4745 5135 5252 5767 6565 7373 7979 9490 10270 11534 13130 14746 15958 18980 20540 23068 26260 28835 29492 31916 36865 39895 57670 73730 74971 79790 95849 103727 115340 147460 149942 159580 191698 207454 299884 374855 383396 414908 479245 518635 582467 749710 958490 1037270 1164934 1499420 1916980 2074540 2329868 2912335 5824670 7572071 11649340 15144142 30288284 37860355 75720710 151441420