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20434276760 = 2351726532707
BaseRepresentation
bin10011000001111110…
…100101000110011000
31221202002200210222012
4103001332211012120
5313322133324020
613215401245052
71322244325622
oct230176450630
957662623865
1020434276760
118736686637
123b63493788
131c0865aa31
14dbbc4dc12
157e8e507c5
hex4c1fa5198

20434276760 has 96 divisors (see below), whose sum is σ = 48933614160. Its totient is φ = 7678285824.

The previous prime is 20434276739. The next prime is 20434276799. The reversal of 20434276760 is 6767243402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7547327 + ... + 7550033.

Almost surely, 220434276760 is an apocalyptic number.

20434276760 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 20434276760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466807080).

20434276760 is an abundant number, since it is smaller than the sum of its proper divisors (28499337400).

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

20434276760 is a wasteful number, since it uses less digits than its factorization.

20434276760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 20434276760 in words is "twenty billion, four hundred thirty-four million, two hundred seventy-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 653 680 1156 1306 1445 2312 2612 2707 2890 3265 5224 5414 5780 6530 10828 11101 11560 13060 13535 21656 22202 26120 27070 44404 46019 54140 55505 88808 92038 108280 111010 184076 188717 222020 230095 368152 377434 444040 460190 754868 782323 920380 943585 1509736 1564646 1767671 1840760 1887170 3129292 3535342 3774340 3911615 6258584 7070684 7548680 7823230 8838355 14141368 15646460 17676710 30050407 31292920 35353420 60100814 70706840 120201628 150252035 240403256 300504070 510856919 601008140 1021713838 1202016280 2043427676 2554284595 4086855352 5108569190 10217138380 20434276760