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133040016 = 24332231381
BaseRepresentation
bin1111110111000…
…00011110010000
3100021100010121000
413323200132100
5233024240031
621111302000
73203551524
oct773403620
9307303530
10133040016
1169108a2a
123867a900
1321741405
1413951d84
15ba2e3e6
hex7ee0790

133040016 has 80 divisors (see below), whose sum is σ = 383864320. Its totient is φ = 44115840.

The previous prime is 133040009. The next prime is 133040021. The reversal of 133040016 is 610040331.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 95646 + ... + 97026.

It is an arithmetic number, because the mean of its divisors is an integer number (4798304).

Almost surely, 2133040016 is an apocalyptic number.

133040016 is a gapful number since it is divisible by the number (16) 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 133040016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191932160).

133040016 is an abundant number, since it is smaller than the sum of its proper divisors (250824304).

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

133040016 is a wasteful number, since it uses less digits than its factorization.

133040016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133040016 is about 11534.2973778206. The cubic root of 133040016 is about 510.4980601546.

Adding to 133040016 its reverse (610040331), we get a palindrome (743080347).

The spelling of 133040016 in words is "one hundred thirty-three million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1381 1784 2007 2676 2762 3568 4014 4143 5352 5524 6021 8028 8286 10704 11048 12042 12429 16056 16572 22096 24084 24858 32112 33144 37287 48168 49716 66288 74574 96336 99432 149148 198864 298296 307963 596592 615926 923889 1231852 1847778 2463704 2771667 3695556 4927408 5543334 7391112 8315001 11086668 14782224 16630002 22173336 33260004 44346672 66520008 133040016