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133700000 = 25557191
BaseRepresentation
bin1111111100000…
…01100110100000
3100022120122220212
413332001212200
5233211400000
621133353252
73212300630
oct776014640
9308518825
10133700000
1169519875
1238938828
1321912935
1413a846c0
15bb0ec35
hex7f819a0

133700000 has 144 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 45600000.

The previous prime is 133699999. The next prime is 133700009. The reversal of 133700000 is 7331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (133700009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699905 + ... + 700095.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2133700000 is an apocalyptic number.

133700000 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 133700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

133700000 is an abundant number, since it is smaller than the sum of its proper divisors (244275808).

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

133700000 is an frugal number, since it uses more digits than its factorization.

133700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 133700000 is about 11562.8716156498. The cubic root of 133700000 is about 511.3408265172.

Adding to 133700000 its reverse (7331), we get a palindrome (133707331).

The spelling of 133700000 in words is "one hundred thirty-three million, seven hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 191 200 224 250 280 350 382 400 500 560 625 700 764 800 875 955 1000 1120 1250 1337 1400 1528 1750 1910 2000 2500 2674 2800 3056 3125 3500 3820 4000 4375 4775 5000 5348 5600 6112 6250 6685 7000 7640 8750 9550 10000 10696 12500 13370 14000 15280 17500 19100 20000 21392 21875 23875 25000 26740 28000 30560 33425 35000 38200 42784 43750 47750 50000 53480 66850 70000 76400 87500 95500 100000 106960 119375 133700 140000 152800 167125 175000 191000 213920 238750 267400 334250 350000 382000 477500 534800 596875 668500 700000 764000 835625 955000 1069600 1193750 1337000 1671250 1910000 2387500 2674000 3342500 3820000 4178125 4775000 5348000 6685000 8356250 9550000 13370000 16712500 19100000 26740000 33425000 66850000 133700000