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291416020 = 22572518293
BaseRepresentation
bin10001010111101…
…010011111010100
3202022100110121221
4101113222133110
51044100303040
644530020124
710135665250
oct2127523724
9668313557
10291416020
1113a551195
1281717644
13484b391c
142a9bb260
151a8b574a
hex115ea7d4

291416020 has 48 divisors (see below), whose sum is σ = 702269568. Its totient is φ = 99504000.

The previous prime is 291415981. The next prime is 291416051. The reversal of 291416020 is 20614192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30994 + ... + 39286.

It is an arithmetic number, because the mean of its divisors is an integer number (14630616).

Almost surely, 2291416020 is an apocalyptic number.

291416020 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 291416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351134784).

291416020 is an abundant number, since it is smaller than the sum of its proper divisors (410853548).

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

291416020 is a wasteful number, since it uses less digits than its factorization.

291416020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 291416020 is about 17070.9115163778. The cubic root of 291416020 is about 662.9861778394.

The spelling of 291416020 in words is "two hundred ninety-one million, four hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1757 2510 3514 5020 7028 8293 8785 16586 17570 33172 35140 41465 58051 82930 116102 165860 232204 290255 580510 1161020 2081543 4163086 8326172 10407715 14570801 20815430 29141602 41630860 58283204 72854005 145708010 291416020