[go: up one dir, main page]

Search a number
-
+
1012423632 = 243112278447
BaseRepresentation
bin111100010110000…
…101101111010000
32121120001110010120
4330112011233100
54033140024012
6244243430240
734042313253
oct7426055720
92546043116
101012423632
1147a539950
12243085380
13131999c4c
149866309a
155dd3758c
hex3c585bd0

1012423632 has 80 divisors (see below), whose sum is σ = 2866102272. Its totient is φ = 305407360.

The previous prime is 1012423589. The next prime is 1012423651. The reversal of 1012423632 is 2363242101.

1012423632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10124236322 = 2050003221264142848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 115633 + ... + 124079.

Almost surely, 21012423632 is an apocalyptic number.

1012423632 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 1012423632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433051136).

1012423632 is an abundant number, since it is smaller than the sum of its proper divisors (1853678640).

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

1012423632 is a wasteful number, since it uses less digits than its factorization.

1012423632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1012423632 is about 31818.6051234180. The cubic root of 1012423632 is about 1004.1241784364.

Adding to 1012423632 its reverse (2363242101), we get a palindrome (3375665733).

The spelling of 1012423632 in words is "one billion, twelve million, four hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 227 264 454 528 681 908 1362 1816 2497 2724 3632 4994 5448 7491 8447 9988 10896 14982 16894 19976 25341 29964 33788 39952 50682 59928 67576 92917 101364 119856 135152 185834 202728 278751 371668 405456 557502 743336 1115004 1486672 1917469 2230008 3834938 4460016 5752407 7669876 11504814 15339752 21092159 23009628 30679504 42184318 46019256 63276477 84368636 92038512 126552954 168737272 253105908 337474544 506211816 1012423632