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1013141752 = 237313071901
BaseRepresentation
bin111100011000110…
…101000011111000
32121121101221012121
4330120311003320
54033331014002
6244311051024
734051364020
oct7430650370
92547357177
101013141752
1147a98a437
12243370a74
13131b8ba7c
14987aca80
155de2a237
hex3c6350f8

1013141752 has 64 divisors (see below), whose sum is σ = 2249533440. Its totient is φ = 418608000.

The previous prime is 1013141749. The next prime is 1013141771. The reversal of 1013141752 is 2571413101.

1013141752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532002 + ... + 533902.

It is an arithmetic number, because the mean of its divisors is an integer number (35148960).

Almost surely, 21013141752 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 1013141752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124766720).

1013141752 is an abundant number, since it is smaller than the sum of its proper divisors (1236391688).

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

1013141752 is a wasteful number, since it uses less digits than its factorization.

1013141752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 1013141752 is about 31829.8877157932. The cubic root of 1013141752 is about 1004.3615333702.

Adding to 1013141752 its reverse (2571413101), we get a palindrome (3584554853).

The spelling of 1013141752 in words is "one billion, thirteen million, one hundred forty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 307 434 614 868 1228 1736 1901 2149 2456 3802 4298 7604 8596 9517 13307 15208 17192 19034 26614 38068 53228 58931 66619 76136 106456 117862 133238 235724 266476 412517 471448 532952 583607 825034 1167214 1650068 2334428 3300136 4085249 4668856 8170498 16340996 18091817 32681992 36183634 72367268 126642719 144734536 253285438 506570876 1013141752