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133143400 = 235213411249
BaseRepresentation
bin1111110111110…
…01101101101000
3100021112101102001
413323321231220
5233041042100
621113420344
73204462115
oct773715550
9307471361
10133143400
1169179675
123870a6b4
13217794a0
141397b90c
15ba4ed6a
hex7ef9b68

133143400 has 96 divisors (see below), whose sum is σ = 341775000. Its totient is φ = 47923200.

The previous prime is 133143397. The next prime is 133143403. The reversal of 133143400 is 4341331.

It is an interprime number because it is at equal distance from previous prime (133143397) and next prime (133143403).

It can be written as a sum of positive squares in 12 ways, for example, as 9622404 + 123520996 = 3102^2 + 11114^2 .

It is not an unprimeable number, because it can be changed into a prime (133143403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105976 + ... + 107224.

Almost surely, 2133143400 is an apocalyptic number.

133143400 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 133143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170887500).

133143400 is an abundant number, since it is smaller than the sum of its proper divisors (208631600).

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

133143400 is a wasteful number, since it uses less digits than its factorization.

133143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 133143400 is about 11538.7780982217. The cubic root of 133143400 is about 510.6302601449.

Adding to 133143400 its reverse (4341331), we get a palindrome (137484731).

It can be divided in two parts, 13 and 3143400, that added together give a palindrome (3143413).

The spelling of 133143400 in words is "one hundred thirty-three million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1249 1300 1640 2050 2132 2498 2600 2665 4100 4264 4996 5330 6245 8200 9992 10660 12490 13325 16237 21320 24980 26650 31225 32474 49960 51209 53300 62450 64948 81185 102418 106600 124900 129896 162370 204836 249800 256045 324740 405925 409672 512090 649480 665717 811850 1024180 1280225 1331434 1623700 2048360 2560450 2662868 3247400 3328585 5120900 5325736 6657170 10241800 13314340 16642925 26628680 33285850 66571700 133143400