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2572115420 = 22574728317
BaseRepresentation
bin1001100101001111…
…0101110111011100
320122020220000001002
42121103311313130
520231430143140
61103121205432
7120511422530
oct23123656734
96566800032
102572115420
1110aa98a426
125b9490878
1331cb5bab4
141a5863bc0
15100c23415
hex994f5ddc

2572115420 has 72 divisors (see below), whose sum is σ = 6307971936. Its totient is φ = 863001216.

The previous prime is 2572115407. The next prime is 2572115423. The reversal of 2572115420 is 245112752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572115423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305102 + ... + 313418.

Almost surely, 22572115420 is an apocalyptic number.

2572115420 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 2572115420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153985968).

2572115420 is an abundant number, since it is smaller than the sum of its proper divisors (3735856516).

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

2572115420 is a wasteful number, since it uses less digits than its factorization.

2572115420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 2572115420 is about 50716.0272497758. The cubic root of 2572115420 is about 1370.1353907433.

The spelling of 2572115420 in words is "two billion, five hundred seventy-two million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 2209 3290 4418 6580 8317 8836 11045 15463 16634 22090 30926 33268 41585 44180 58219 61852 77315 83170 116438 154630 166340 232876 291095 309260 390899 582190 781798 1164380 1563596 1954495 2736293 3908990 5472586 7817980 10945172 13681465 18372253 27362930 36744506 54725860 73489012 91861265 128605771 183722530 257211542 367445060 514423084 643028855 1286057710 2572115420