Search a number
-
+
1022521980 = 2235311015443
BaseRepresentation
bin111100111100100…
…111001001111100
32122021001111110110
4330330213021330
54043231200410
6245244110020
734224202434
oct7474471174
92567044413
101022521980
11485206997
12246535310
13133ac44bc
1499b312c4
155eb7e720
hex3cf2727c

1022521980 has 96 divisors (see below), whose sum is σ = 2985228288. Its totient is φ = 261216000.

The previous prime is 1022521961. The next prime is 1022521987. The reversal of 1022521980 is 891252201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022521987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185139 + ... + 190581.

It is an arithmetic number, because the mean of its divisors is an integer number (31096128).

Almost surely, 21022521980 is an apocalyptic number.

1022521980 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 1022521980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492614144).

1022521980 is an abundant number, since it is smaller than the sum of its proper divisors (1962706308).

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

1022521980 is a wasteful number, since it uses less digits than its factorization.

1022521980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1022521980 is about 31976.8975981098. The cubic root of 1022521980 is about 1007.4516614843.

The spelling of 1022521980 in words is "one billion, twenty-two million, five hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 101 124 155 186 202 303 310 372 404 465 505 606 620 930 1010 1212 1515 1860 2020 3030 3131 5443 6060 6262 9393 10886 12524 15655 16329 18786 21772 27215 31310 32658 37572 46965 54430 62620 65316 81645 93930 108860 163290 168733 187860 326580 337466 506199 549743 674932 843665 1012398 1099486 1649229 1687330 2024796 2198972 2530995 2748715 3298458 3374660 5061990 5497430 6596916 8246145 10123980 10994860 16492290 17042033 32984580 34084066 51126099 68168132 85210165 102252198 170420330 204504396 255630495 340840660 511260990 1022521980