Search a number
-
+
72046000920 = 23355479109579
BaseRepresentation
bin100001100011001000…
…1101011101100011000
320212222000021001111110
41003012101223230120
52140022234012140
653033015500320
75130236621625
oct1030621535430
9225860231443
1072046000920
11286110a8923
1211b680876a0
136a422a9a9a
1436b664734c
151d1a05d380
hex10c646bb18

72046000920 has 64 divisors (see below), whose sum is σ = 216179424000. Its totient is φ = 19208585088.

The previous prime is 72046000919. The next prime is 72046000987. The reversal of 72046000920 is 2900064027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 602691 + ... + 712269.

It is an arithmetic number, because the mean of its divisors is an integer number (3377803500).

Almost surely, 272046000920 is an apocalyptic number.

It is an amenable number.

72046000920 is an abundant number, since it is smaller than the sum of its proper divisors (144133423080).

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

72046000920 is a wasteful number, since it uses less digits than its factorization.

72046000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115072 (or 115068 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 72046000920 its reverse (2900064027), we get a palindrome (74946064947).

The spelling of 72046000920 in words is "seventy-two billion, forty-six million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5479 10958 16437 21916 27395 32874 43832 54790 65748 82185 109579 109580 131496 164370 219158 219160 328737 328740 438316 547895 657474 657480 876632 1095790 1314948 1643685 2191580 2629896 3287370 4383160 6574740 13149480 600383341 1200766682 1801150023 2401533364 3001916705 3602300046 4803066728 6003833410 7204600092 9005750115 12007666820 14409200184 18011500230 24015333640 36023000460 72046000920