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415325020 = 2251113114411
BaseRepresentation
bin11000110000010…
…101101101011100
31001221111200211011
4120300111231130
51322310400040
6105113505004
713202130055
oct3060255534
91057450734
10415325020
111a3492920
12b7112164
1368078b66
143d23372c
15266de3ea
hex18c15b5c

415325020 has 48 divisors (see below), whose sum is σ = 958801536. Its totient is φ = 149864000.

The previous prime is 415324993. The next prime is 415325033. The reversal of 415325020 is 20523514.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 415324982 and 415325000.

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, 21615 + ... + 36025.

It is an arithmetic number, because the mean of its divisors is an integer number (19975032).

Almost surely, 2415325020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479400768).

415325020 is an abundant number, since it is smaller than the sum of its proper divisors (543476516).

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

415325020 is a wasteful number, since it uses less digits than its factorization.

415325020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14562 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 415325020 is about 20379.5245283103. The cubic root of 415325020 is about 746.0982675477.

Adding to 415325020 its reverse (20523514), we get a palindrome (435848534).

The spelling of 415325020 in words is "four hundred fifteen million, three hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 14410 14411 28820 28822 57644 72055 144110 158521 288220 317042 634084 792605 1585210 1887841 3170420 3775682 7551364 9439205 18878410 20766251 37756820 41532502 83065004 103831255 207662510 415325020