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1242054632 = 2371315710867
BaseRepresentation
bin100101000001000…
…0011111111101000
310012120010220122102
41022002003333220
510020431222012
6323125312532
742531201350
oct11202037750
93176126572
101242054632
11588120035
122a7b65748
1316a42a290
14bad59b60
15740962c2
hex4a083fe8

1242054632 has 64 divisors (see below), whose sum is σ = 2884801920. Its totient is φ = 488187648.

The previous prime is 1242054599. The next prime is 1242054637. The reversal of 1242054632 is 2364502421.

It is a junction number, because it is equal to n+sod(n) for n = 1242054595 and 1242054604.

It is not an unprimeable number, because it can be changed into a prime (1242054637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108863 + ... + 119729.

It is an arithmetic number, because the mean of its divisors is an integer number (45075030).

Almost surely, 21242054632 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 1242054632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442400960).

1242054632 is an abundant number, since it is smaller than the sum of its proper divisors (1642747288).

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

1242054632 is a wasteful number, since it uses less digits than its factorization.

1242054632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 1242054632 is about 35242.7954623353. The cubic root of 1242054632 is about 1074.9301218685.

The spelling of 1242054632 in words is "one billion, two hundred forty-two million, fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 182 314 364 628 728 1099 1256 2041 2198 4082 4396 8164 8792 10867 14287 16328 21734 28574 43468 57148 76069 86936 114296 141271 152138 282542 304276 565084 608552 988897 1130168 1706119 1977794 3412238 3955588 6824476 7911176 11942833 13648952 22179547 23885666 44359094 47771332 88718188 95542664 155256829 177436376 310513658 621027316 1242054632