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1260228416 = 26712691031
BaseRepresentation
bin100101100011101…
…1000111101000000
310020211100020101112
41023013120331000
510040104302131
6325015022452
743141523216
oct11307307500
93224306345
101260228416
11597403297
122b206aa28
131711213b5
14bd52acb6
157598602b
hex4b1d8f40

1260228416 has 56 divisors (see below), whose sum is σ = 2547884160. Its totient is φ = 618329600.

The previous prime is 1260228413. The next prime is 1260228421. The reversal of 1260228416 is 6148220621.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260228413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221821 + ... + 1222851.

Almost surely, 21260228416 is an apocalyptic number.

1260228416 is a gapful number since it is divisible by the number (16) 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 1260228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273942080).

1260228416 is an abundant number, since it is smaller than the sum of its proper divisors (1287655744).

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

1260228416 is a wasteful number, since it uses less digits than its factorization.

1260228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1260228416 is about 35499.6959986984. The cubic root of 1260228416 is about 1080.1475609991.

The spelling of 1260228416 in words is "one billion, two hundred sixty million, two hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 71 142 269 284 538 568 1031 1076 1136 2062 2152 2272 4124 4304 4544 8248 8608 16496 17216 19099 32992 38198 65984 73201 76396 146402 152792 277339 292804 305584 554678 585608 611168 1109356 1171216 1222336 2218712 2342432 4437424 4684864 8874848 17749696 19691069 39382138 78764276 157528552 315057104 630114208 1260228416