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3128900390 = 257211599839
BaseRepresentation
bin1011101001111111…
…0011101100100110
322002001120121102122
42322133303230212
522401444303030
61234251105542
7140352133400
oct27237635446
98061517378
103128900390
1113662011a0
12733a422b2
133ab306665
1421979bb70
15134a568e5
hexba7f3b26

3128900390 has 96 divisors (see below), whose sum is σ = 7269004800. Its totient is φ = 958614720.

The previous prime is 3128900387. The next prime is 3128900399. The reversal of 3128900390 is 930098213.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3128900390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128900399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313091 + ... + 322929.

It is an arithmetic number, because the mean of its divisors is an integer number (75718800).

Almost surely, 23128900390 is an apocalyptic number.

3128900390 is an abundant number, since it is smaller than the sum of its proper divisors (4140104410).

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

3128900390 is a wasteful number, since it uses less digits than its factorization.

3128900390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 3128900390 is about 55936.5747074309. The cubic root of 3128900390 is about 1462.6168727309.

The spelling of 3128900390 in words is "three billion, one hundred twenty-eight million, nine hundred thousand, three hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 59 70 77 98 110 118 154 245 295 385 413 490 539 590 649 770 826 1078 1298 2065 2695 2891 3245 4130 4543 5390 5782 6490 9086 9839 14455 19678 22715 28910 31801 45430 49195 63602 68873 98390 108229 137746 159005 216458 318010 344365 482111 541145 580501 688730 757603 964222 1082290 1161002 1515206 2410555 2902505 3788015 4063507 4821110 5303221 5805010 6385511 7576030 8127014 10606442 12771022 20317535 26516105 28444549 31927555 40635070 44698577 53032210 56889098 63855110 89397154 142222745 223492885 284445490 312890039 446985770 625780078 1564450195 3128900390