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1090861824 = 28313372953
BaseRepresentation
bin100000100000101…
…0011101100000000
32211000122112002210
41001001103230000
54213230034244
6300124542120
736014113113
oct10101235400
92730575083
101090861824
1150a8436a8
122653b1940
13145001490
14a4c4057a
1565b7d4b9
hex41053b00

1090861824 has 144 divisors (see below), whose sum is σ = 3212203232. Its totient is φ = 326467584.

The previous prime is 1090861819. The next prime is 1090861829. The reversal of 1090861824 is 4281680901.

It is an interprime number because it is at equal distance from previous prime (1090861819) and next prime (1090861829).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1090861829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367932 + ... + 370884.

Almost surely, 21090861824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606101616).

1090861824 is an abundant number, since it is smaller than the sum of its proper divisors (2121341408).

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

1090861824 is a wasteful number, since it uses less digits than its factorization.

1090861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1090861824 is about 33028.1974076697. The cubic root of 1090861824 is about 1029.4136304928.

The spelling of 1090861824 in words is "one billion, ninety million, eight hundred sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 2953 3328 3552 3848 4736 4992 5772 5906 7104 7696 8859 9472 9984 11544 11812 14208 15392 17718 23088 23624 28416 30784 35436 38389 46176 47248 61568 70872 76778 92352 94496 109261 115167 123136 141744 153556 184704 188992 218522 230334 283488 307112 327783 369408 377984 437044 460668 566976 614224 655566 755968 874088 921336 1133952 1228448 1311132 1420393 1748176 1842672 2267904 2456896 2622264 2840786 3496352 3685344 4261179 4913792 5244528 5681572 6992704 7370688 8522358 9827584 10489056 11363144 13985408 14741376 17044716 20978112 22726288 27970816 29482752 34089432 41956224 45452576 68178864 83912448 90905152 136357728 181810304 272715456 363620608 545430912 1090861824