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19422640 = 2451072269
BaseRepresentation
bin100101000010…
…1110110110000
31100112202212001
41022011312300
514433011030
61532143344
7324042526
oct112056660
940482761
1019422640
11aa66576
126607b54
1340406b3
142818316
151a89cca
hex1285db0

19422640 has 40 divisors (see below), whose sum is σ = 45599760. Its totient is φ = 7693056.

The previous prime is 19422587. The next prime is 19422659. The reversal of 19422640 is 4622491.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 19422599 and 19422608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7426 + ... + 9694.

It is an arithmetic number, because the mean of its divisors is an integer number (1139994).

Almost surely, 219422640 is an apocalyptic number.

19422640 is a gapful number since it is divisible by the number (10) 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 19422640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22799880).

19422640 is an abundant number, since it is smaller than the sum of its proper divisors (26177120).

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

19422640 is a wasteful number, since it uses less digits than its factorization.

19422640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 19422640 is about 4407.1124333287. The cubic root of 19422640 is about 268.8042226992.

The spelling of 19422640 in words is "nineteen million, four hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 2269 4280 4538 8560 9076 11345 18152 22690 36304 45380 90760 181520 242783 485566 971132 1213915 1942264 2427830 3884528 4855660 9711320 19422640