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1021241424 = 24374996091
BaseRepresentation
bin111100110111101…
…110100001010000
32122011122102212110
4330313232201100
54042414211144
6245200425320
734210260150
oct7467564120
92564572773
101021241424
11484511885
12246018240
13133766688
14998ba760
155e9ca0b9
hex3cdee850

1021241424 has 80 divisors (see below), whose sum is σ = 3021632000. Its totient is φ = 291150720.

The previous prime is 1021241413. The next prime is 1021241483. The reversal of 1021241424 is 4241421201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1021241424.

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, 164619 + ... + 170709.

It is an arithmetic number, because the mean of its divisors is an integer number (37770400).

Almost surely, 21021241424 is an apocalyptic number.

1021241424 is a gapful number since it is divisible by the number (14) 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 1021241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510816000).

1021241424 is an abundant number, since it is smaller than the sum of its proper divisors (2000390576).

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

1021241424 is a wasteful number, since it uses less digits than its factorization.

1021241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1021241424 is about 31956.8681819730. The cubic root of 1021241424 is about 1007.0309249063.

Adding to 1021241424 its reverse (4241421201), we get a palindrome (5262662625).

The spelling of 1021241424 in words is "one billion, twenty-one million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 499 998 1497 1996 2994 3493 3992 5988 6091 6986 7984 10479 11976 12182 13972 18273 20958 23952 24364 27944 36546 41916 42637 48728 55888 73092 83832 85274 97456 127911 146184 167664 170548 255822 292368 341096 511644 682192 1023288 2046576 3039409 6078818 9118227 12157636 18236454 21275863 24315272 36472908 42551726 48630544 63827589 72945816 85103452 127655178 145891632 170206904 255310356 340413808 510620712 1021241424