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532631106 = 23376721031
BaseRepresentation
bin11111101111110…
…100111001000010
31101010020110112000
4133233310321002
52042323143411
6124504044430
716125201240
oct3757647102
91333213460
10532631106
112537246a7
1212a463716
138646b847
1450a4b790
1531b61956
hex1fbf4e42

532631106 has 64 divisors (see below), whose sum is σ = 1372968960. Its totient is φ = 149901840.

The previous prime is 532631101. The next prime is 532631111. The reversal of 532631106 is 601136235.

It is an interprime number because it is at equal distance from previous prime (532631101) and next prime (532631111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 532631106.

It is not an unprimeable number, because it can be changed into a prime (532631101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14811 + ... + 35841.

It is an arithmetic number, because the mean of its divisors is an integer number (21452640).

Almost surely, 2532631106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532631106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686484480).

532631106 is an abundant number, since it is smaller than the sum of its proper divisors (840337854).

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

532631106 is a wasteful number, since it uses less digits than its factorization.

532631106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21116 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 532631106 is about 23078.8020919631. The cubic root of 532631106 is about 810.6041857092.

The spelling of 532631106 in words is "five hundred thirty-two million, six hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 189 201 378 402 469 603 938 1206 1407 1809 2814 3618 4221 8442 12663 21031 25326 42062 63093 126186 147217 189279 294434 378558 441651 567837 883302 1135674 1324953 1409077 2649906 2818154 3974859 4227231 7949718 8454462 9863539 12681693 19727078 25363386 29590617 38045079 59181234 76090158 88771851 177543702 266315553 532631106