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1020505420 = 2251131714633
BaseRepresentation
bin111100110100111…
…010110101001100
32122010021001021001
4330310322311030
54042222133140
6245132550044
734201103314
oct7464726514
92563231231
101020505420
11484059910
12245922324
1313356967c
1499768444
155e8d1e9a
hex3cd3ad4c

1020505420 has 48 divisors (see below), whose sum is σ = 2345420448. Its totient is φ = 369896960.

The previous prime is 1020505403. The next prime is 1020505429. The reversal of 1020505420 is 245050201.

It is not an unprimeable number, because it can be changed into a prime (1020505429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62424 + ... + 77056.

It is an arithmetic number, because the mean of its divisors is an integer number (48862926).

Almost surely, 21020505420 is an apocalyptic number.

1020505420 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 1020505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172710224).

1020505420 is an abundant number, since it is smaller than the sum of its proper divisors (1324915028).

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

1020505420 is a wasteful number, since it uses less digits than its factorization.

1020505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14970 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1020505420 is about 31945.3505224156. The cubic root of 1020505420 is about 1006.7889459130.

Adding to 1020505420 its reverse (245050201), we get a palindrome (1265555621).

The spelling of 1020505420 in words is "one billion, twenty million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 317 634 1268 1585 3170 3487 6340 6974 13948 14633 17435 29266 34870 58532 69740 73165 146330 160963 292660 321926 643852 804815 1609630 3219260 4638661 9277322 18554644 23193305 46386610 51025271 92773220 102050542 204101084 255126355 510252710 1020505420