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1023042132 = 223274199689
BaseRepresentation
bin111100111110100…
…110001001010100
32122022000220222100
4330332212021110
54043344322012
6245303202100
734231500060
oct7476461124
92568026870
101023042132
11485531772
12246746330
13133c47198
1499c28aa0
155ec338dc
hex3cfa6254

1023042132 has 72 divisors (see below), whose sum is σ = 2962814400. Its totient is φ = 291570048.

The previous prime is 1023042121. The next prime is 1023042149. The reversal of 1023042132 is 2312403201.

1023042132 is a `hidden beast` number, since 10 + 230 + 421 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100744 + ... + 110432.

It is an arithmetic number, because the mean of its divisors is an integer number (41150200).

Almost surely, 21023042132 is an apocalyptic number.

1023042132 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 1023042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481407200).

1023042132 is an abundant number, since it is smaller than the sum of its proper divisors (1939772268).

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

1023042132 is a wasteful number, since it uses less digits than its factorization.

1023042132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023042132 is about 31985.0298108349. The cubic root of 1023042132 is about 1007.6224611265.

Adding to 1023042132 its reverse (2312403201), we get a palindrome (3335445333).

The spelling of 1023042132 in words is "one billion, twenty-three million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2514 2933 3771 5028 5866 7542 8799 9689 11732 15084 17598 19378 26397 29067 35196 38756 52794 58134 67823 87201 105588 116268 135646 174402 203469 271292 348804 406938 610407 813876 1220814 2441628 4059691 8119382 12179073 16238764 24358146 28417837 36537219 48716292 56835674 73074438 85253511 113671348 146148876 170507022 255760533 341014044 511521066 1023042132