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1013432032 = 25191819209
BaseRepresentation
bin111100011001111…
…011111011100000
32121121221200101201
4330121323323200
54033414311112
6244321210544
734054013224
oct7431737340
92547850351
101013432032
11480068538
12243490a54
13131c60c32
1498846784
155de86257
hex3c67bee0

1013432032 has 48 divisors (see below), whose sum is σ = 2112037200. Its totient is φ = 477342720.

The previous prime is 1013432029. The next prime is 1013432059. The reversal of 1013432032 is 2302343101.

It is a super-3 number, since 3×10134320323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105444 + ... + 114652.

It is an arithmetic number, because the mean of its divisors is an integer number (44000775).

Almost surely, 21013432032 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 1013432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056018600).

1013432032 is an abundant number, since it is smaller than the sum of its proper divisors (1098605168).

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

1013432032 is a wasteful number, since it uses less digits than its factorization.

1013432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1013432032 is about 31834.4472545072. The cubic root of 1013432032 is about 1004.4574456568.

Adding to 1013432032 its reverse (2302343101), we get a palindrome (3315775133).

The spelling of 1013432032 in words is "one billion, thirteen million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 181 304 362 608 724 1448 2896 3439 5792 6878 9209 13756 18418 27512 36836 55024 73672 110048 147344 174971 294688 349942 699884 1399768 1666829 2799536 3333658 5599072 6667316 13334632 26669264 31669751 53338528 63339502 126679004 253358008 506716016 1013432032