Search a number
-
+
133522480 = 24571318341
BaseRepresentation
bin1111111010101…
…10010000110000
3100022020122102001
413331112100300
5233140204410
621125503344
73210631240
oct775262060
9308218361
10133522480
1169408463
1238871b54
132187cbb0
1413a39b20
15bac733a
hex7f56430

133522480 has 80 divisors (see below), whose sum is σ = 382100544. Its totient is φ = 42255360.

The previous prime is 133522469. The next prime is 133522483. The reversal of 133522480 is 84225331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133522483) 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, 1891 + ... + 16450.

Almost surely, 2133522480 is an apocalyptic number.

133522480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133522480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191050272).

133522480 is an abundant number, since it is smaller than the sum of its proper divisors (248578064).

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

133522480 is a wasteful number, since it uses less digits than its factorization.

133522480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18374 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 133522480 is about 11555.1927720830. The cubic root of 133522480 is about 511.1144155776.

The spelling of 133522480 in words is "one hundred thirty-three million, five hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 18341 36682 73364 91705 128387 146728 183410 238433 256774 293456 366820 476866 513548 641935 733640 953732 1027096 1192165 1283870 1467280 1669031 1907464 2054192 2384330 2567740 3338062 3814928 4768660 5135480 6676124 8345155 9537320 10270960 13352248 16690310 19074640 26704496 33380620 66761240 133522480