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269148420 = 223451729337
BaseRepresentation
bin10000000010101…
…110000100000100
3200202110011020000
4100002232010010
51022400222140
642412441300
76445503162
oct2002560404
9622404200
10269148420
11128a22212
1276179230
13439b8328
1427a62232
1518967a30
hex100ae104

269148420 has 240 divisors, whose sum is σ = 927566640. Its totient is φ = 65028096.

The previous prime is 269148413. The next prime is 269148427. The reversal of 269148420 is 24841962.

It is an interprime number because it is at equal distance from previous prime (269148413) and next prime (269148427).

It can be written as a sum of positive squares in 8 ways, for example, as 254016 + 268894404 = 504^2 + 16398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (269148427) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 798492 + ... + 798828.

It is an arithmetic number, because the mean of its divisors is an integer number (3864861).

Almost surely, 2269148420 is an apocalyptic number.

269148420 is a gapful number since it is divisible by the number (20) 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 269148420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463783320).

269148420 is an abundant number, since it is smaller than the sum of its proper divisors (658418220).

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

269148420 is a wasteful number, since it uses less digits than its factorization.

269148420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 269148420 is about 16405.7435064675. The cubic root of 269148420 is about 645.6501826638.

The spelling of 269148420 in words is "two hundred sixty-nine million, one hundred forty-eight thousand, four hundred twenty".