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1120530432 = 2123721861
BaseRepresentation
bin100001011001001…
…1111000000000000
32220002110211210010
41002302133000000
54243323433212
6303104504520
736524231400
oct10262370000
92802424703
101120530432
1152556810a
1227331b140
1314b1bb678
14a8b64800
156858e03c
hex42c9f000

1120530432 has 156 divisors (see below), whose sum is σ = 3477374376. Its totient is φ = 319979520.

The previous prime is 1120530427. The next prime is 1120530473. The reversal of 1120530432 is 2340350211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1120530399 and 1120530408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601182 + ... + 603042.

Almost surely, 21120530432 is an apocalyptic number.

1120530432 is a gapful number since it is divisible by the number (12) 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 1120530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738687188).

1120530432 is an abundant number, since it is smaller than the sum of its proper divisors (2356843944).

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

1120530432 is an equidigital number, since it uses as much as digits as its factorization.

1120530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1120530432 is about 33474.3249670550. The cubic root of 1120530432 is about 1038.6627388428.

Adding to 1120530432 its reverse (2340350211), we get a palindrome (3460880643).

The spelling of 1120530432 in words is "one billion, one hundred twenty million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 1861 2048 2352 2688 3072 3136 3584 3722 4096 4704 5376 5583 6144 6272 7168 7444 9408 10752 11166 12288 12544 13027 14336 14888 18816 21504 22332 25088 26054 28672 29776 37632 39081 43008 44664 50176 52108 59552 75264 78162 86016 89328 91189 100352 104216 119104 150528 156324 178656 182378 200704 208432 238208 273567 301056 312648 357312 364756 416864 476416 547134 602112 625296 714624 729512 833728 952832 1094268 1250592 1429248 1459024 1667456 1905664 2188536 2501184 2858496 2918048 3334912 3811328 4377072 5002368 5716992 5836096 6669824 7622656 8754144 10004736 11433984 11672192 13339648 17508288 20009472 22867968 23344384 26679296 35016576 40018944 46688768 53358592 70033152 80037888 93377536 140066304 160075776 186755072 280132608 373510144 560265216 1120530432