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1022396540 = 2251110345119
BaseRepresentation
bin111100111100001…
…000100001111100
32122020211010101112
4330330020201330
54043213142130
6245241301152
734223140634
oct7474104174
92566733345
101022396540
11485130720
122464947b8
13133a7c389
1499adb6c4
155eb57495
hex3cf0887c

1022396540 has 48 divisors (see below), whose sum is σ = 2365009920. Its totient is φ = 368162880.

The previous prime is 1022396527. The next prime is 1022396579. The reversal of 1022396540 is 456932201.

It is a happy number.

1022396540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022396497 and 1022396506.

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, 101 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (49271040).

Almost surely, 21022396540 is an apocalyptic number.

1022396540 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 1022396540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182504960).

1022396540 is an abundant number, since it is smaller than the sum of its proper divisors (1342613380).

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

1022396540 is a wasteful number, since it uses less digits than its factorization.

1022396540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45242 (or 45240 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1022396540 is about 31974.9361219065. The cubic root of 1022396540 is about 1007.4104627271.

The spelling of 1022396540 in words is "one billion, twenty-two million, three hundred ninety-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 11330 22660 45119 90238 180476 225595 451190 496309 902380 992618 1985236 2481545 4647257 4963090 9294514 9926180 18589028 23236285 46472570 51119827 92945140 102239654 204479308 255599135 511198270 1022396540