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997087590 = 233527113627
BaseRepresentation
bin111011011011100…
…101100101100110
32120111012022001000
4323123211211212
54020223300330
6242535014130
733465050622
oct7333454546
92514168030
10997087590
11471914734
12239b0a346
1312b75a675
14965d0182
155c808560
hex3b6e5966

997087590 has 64 divisors (see below), whose sum is σ = 2668907520. Its totient is φ = 264889440.

The previous prime is 997087589. The next prime is 997087633. The reversal of 997087590 is 95780799.

997087590 is digitally balanced in base 6, 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66357 + ... + 79983.

It is an arithmetic number, because the mean of its divisors is an integer number (41701680).

Almost surely, 2997087590 is an apocalyptic number.

997087590 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997087590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334453760).

997087590 is an abundant number, since it is smaller than the sum of its proper divisors (1671819930).

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

997087590 is a wasteful number, since it uses less digits than its factorization.

997087590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13914 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The square root of 997087590 is about 31576.6937787983. The cubic root of 997087590 is about 999.0282526797.

The spelling of 997087590 in words is "nine hundred ninety-seven million, eighty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 271 542 813 1355 1626 2439 2710 4065 4878 7317 8130 12195 13627 14634 24390 27254 36585 40881 68135 73170 81762 122643 136270 204405 245286 367929 408810 613215 735858 1226430 1839645 3679290 3692917 7385834 11078751 18464585 22157502 33236253 36929170 55393755 66472506 99708759 110787510 166181265 199417518 332362530 498543795 997087590