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133472020 = 225115311447
BaseRepresentation
bin1111111010010…
…01111100010100
3100022011002012011
413331021330110
5233132101040
621124434004
73210331153
oct775117424
9308132164
10133472020
1169383560
1238848904
1321862c36
1413a2559a
15bab73ea
hex7f49f14

133472020 has 48 divisors (see below), whose sum is σ = 311568768. Its totient is φ = 47615360.

The previous prime is 133471999. The next prime is 133472023. The reversal of 133472020 is 20274331.

It is a super-3 number, since 3×1334720203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 133471982 and 133472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133472023) 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, 5937 + ... + 17383.

It is an arithmetic number, because the mean of its divisors is an integer number (6491016).

Almost surely, 2133472020 is an apocalyptic number.

133472020 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 133472020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155784384).

133472020 is an abundant number, since it is smaller than the sum of its proper divisors (178096748).

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

133472020 is a wasteful number, since it uses less digits than its factorization.

133472020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 133472020 is about 11553.0091318236. The cubic root of 133472020 is about 511.0500217192.

The spelling of 133472020 in words is "one hundred thirty-three million, four hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11447 11660 22894 45788 57235 114470 125917 228940 251834 503668 606691 629585 1213382 1259170 2426764 2518340 3033455 6066910 6673601 12133820 13347202 26694404 33368005 66736010 133472020