Search a number
-
+
1022040432 = 243272144847
BaseRepresentation
bin111100111010110…
…001100101110000
32122020011000220100
4330322301211300
54043120243212
6245225512400
734220125500
oct7472614560
92566130810
101022040432
11484a08116
12246342700
1313398626a
1499a47a00
155ead6bdc
hex3ceb1970

1022040432 has 90 divisors (see below), whose sum is σ = 3327303408. Its totient is φ = 292009536.

The previous prime is 1022040431. The next prime is 1022040449. The reversal of 1022040432 is 2340402201.

1022040432 is a `hidden beast` number, since 10 + 220 + 4 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022040431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65368 + ... + 79479.

Almost surely, 21022040432 is an apocalyptic number.

1022040432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022040432 is an abundant number, since it is smaller than the sum of its proper divisors (2305262976).

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

1022040432 is a wasteful number, since it uses less digits than its factorization.

1022040432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144875 (or 144859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1022040432 is about 31969.3670878859. The cubic root of 1022040432 is about 1007.2934863973.

Adding to 1022040432 its reverse (2340402201), we get a palindrome (3362442633).

The spelling of 1022040432 in words is "one billion, twenty-two million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 144847 289694 434541 579388 869082 1013929 1158776 1303623 1738164 2027858 2317552 2607246 3041787 3476328 4055716 5214492 6083574 6952656 7097503 8111432 9125361 10428984 12167148 14195006 16222864 18250722 20857968 21292509 24334296 28390012 36501444 42585018 48668592 56780024 63877527 73002888 85170036 113560048 127755054 146005776 170340072 255510108 340680144 511020216 1022040432