Search a number
-
+
1012450432 = 2772373673
BaseRepresentation
bin111100010110001…
…100010010000000
32121120002210220011
4330112030102000
54033141403212
6244244154304
734042454350
oct7426142200
92546083804
101012450432
1147a557aa4
12243098994
131319a91c6
149866cb60
155dd404a7
hex3c58c480

1012450432 has 128 divisors (see below), whose sum is σ = 2441928960. Its totient is φ = 408748032.

The previous prime is 1012450427. The next prime is 1012450471. The reversal of 1012450432 is 2340542101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504048 + ... + 1504720.

It is an arithmetic number, because the mean of its divisors is an integer number (19077570).

Almost surely, 21012450432 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 1012450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220964480).

1012450432 is an abundant number, since it is smaller than the sum of its proper divisors (1429478528).

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

1012450432 is an equidigital number, since it uses as much as digits as its factorization.

1012450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1012450432 is about 31819.0262578854. The cubic root of 1012450432 is about 1004.1330384596.

Adding to 1012450432 its reverse (2340542101), we get a palindrome (3352992533).

The spelling of 1012450432 in words is "one billion, twelve million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 73 92 112 128 146 161 184 224 292 322 368 448 511 584 644 673 736 896 1022 1168 1288 1346 1472 1679 2044 2336 2576 2692 2944 3358 4088 4672 4711 5152 5384 6716 8176 9344 9422 10304 10768 11753 13432 15479 16352 18844 20608 21536 23506 26864 30958 32704 37688 43072 47012 49129 53728 61916 65408 75376 86144 94024 98258 107456 108353 123832 150752 188048 196516 214912 216706 247664 301504 343903 376096 393032 433412 495328 603008 687806 752192 786064 866824 990656 1129967 1375612 1504384 1572128 1733648 1981312 2259934 2751224 3144256 3467296 4519868 5502448 6288512 6934592 7909769 9039736 11004896 13869184 15819538 18079472 22009792 31639076 36158944 44019584 63278152 72317888 126556304 144635776 253112608 506225216 1012450432