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642990000 = 2435421433
BaseRepresentation
bin100110010100110…
…011111110110000
31122210220021110110
4212110303332300
52304101140000
6143445301320
721635216262
oct4624637660
91583807413
10642990000
112aaa509a4
1215b404840
13a329b373
1461577b32
153b6b0850
hex26533fb0

642990000 has 100 divisors (see below), whose sum is σ = 2075754296. Its totient is φ = 171456000.

The previous prime is 642989999. The next prime is 642990013. The reversal of 642990000 is 99246.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×6429900002 = 826872280200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 642990000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19284 + ... + 40716.

Almost surely, 2642990000 is an apocalyptic number.

642990000 is a gapful number since it is divisible by the number (60) 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 642990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037877148).

642990000 is an abundant number, since it is smaller than the sum of its proper divisors (1432764296).

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

642990000 is a wasteful number, since it uses less digits than its factorization.

642990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21464 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 642990000 is about 25357.2474846936. The cubic root of 642990000 is about 863.1138247587.

The spelling of 642990000 in words is "six hundred forty-two million, nine hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 21433 30000 42866 64299 85732 107165 128598 171464 214330 257196 321495 342928 428660 514392 535825 642990 857320 1028784 1071650 1285980 1607475 1714640 2143300 2571960 2679125 3214950 4286600 5143920 5358250 6429900 8037375 8573200 10716500 12859800 13395625 16074750 21433000 25719600 26791250 32149500 40186875 42866000 53582500 64299000 80373750 107165000 128598000 160747500 214330000 321495000 642990000