Search a number
-
+
1372242465 = 345111718119
BaseRepresentation
bin101000111001010…
…1100001000100001
310112122010010210000
41101302230020201
510302243224330
6344055530213
746001603616
oct12162541041
93478103700
101372242465
11644660090
12323689969
1318b3b03b9
14d036850d
1580710560
hex51cac221

1372242465 has 80 divisors (see below), whose sum is σ = 2841505920. Its totient is φ = 626158080.

The previous prime is 1372242463. The next prime is 1372242481. The reversal of 1372242465 is 5642422731.

1372242465 is a `hidden beast` number, since 1 + 372 + 242 + 46 + 5 = 666.

It is not a de Polignac number, because 1372242465 - 21 = 1372242463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1372242463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66676 + ... + 84794.

It is an arithmetic number, because the mean of its divisors is an integer number (35518824).

Almost surely, 21372242465 is an apocalyptic number.

1372242465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1372242465 is an abundant number, since it is smaller than the sum of its proper divisors (1469263455).

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

1372242465 is a wasteful number, since it uses less digits than its factorization.

1372242465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18155 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 1372242465 is about 37043.7911801695. The cubic root of 1372242465 is about 1111.2461898684.

The spelling of 1372242465 in words is "one billion, three hundred seventy-two million, two hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 297 405 459 495 561 765 891 935 1377 1485 1683 2295 2805 4455 5049 6885 8415 15147 18119 25245 54357 75735 90595 163071 199309 271785 308023 489213 597927 815355 924069 996545 1467639 1540115 1793781 2446065 2772207 2989635 3388253 4620345 5381343 7338195 8316621 8968905 10164759 13861035 16144029 16941265 24949863 26906715 30494277 41583105 50823795 80720145 91482831 124749315 152471385 274448493 457414155 1372242465