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1020553542 = 232312417589
BaseRepresentation
bin111100110101000…
…110100101000110
32122010100111021100
4330311012211012
54042230203132
6245134000530
734201363521
oct7465064506
92563314240
101020553542
11484091a88
12245946146
13133585548
149977bbb8
155e8e137c
hex3cd46946

1020553542 has 48 divisors (see below), whose sum is σ = 2292301440. Its totient is φ = 327801600.

The previous prime is 1020553519. The next prime is 1020553553. The reversal of 1020553542 is 2453550201.

It is a happy number.

1020553542 is a `hidden beast` number, since 102 + 0 + 553 + 5 + 4 + 2 = 666.

1020553542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 130684 + ... + 138272.

It is an arithmetic number, because the mean of its divisors is an integer number (47756280).

Almost surely, 21020553542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020553542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146150720).

1020553542 is an abundant number, since it is smaller than the sum of its proper divisors (1271747898).

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

1020553542 is a wasteful number, since it uses less digits than its factorization.

1020553542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1020553542 is about 31946.1037060860. The cubic root of 1020553542 is about 1006.8047707306.

The spelling of 1020553542 in words is "one billion, twenty million, five hundred fifty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 241 279 482 558 723 1446 2169 4338 7471 7589 14942 15178 22413 22767 44826 45534 67239 68301 134478 136602 235259 470518 705777 1411554 1828949 2117331 3657898 4234662 5486847 10973694 16460541 32921082 56697419 113394838 170092257 340184514 510276771 1020553542