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700013400 = 233525322013
BaseRepresentation
bin101001101110010…
…101101101011000
31210210012100212020
4221232111231120
52413200412100
6153243414440
723230005252
oct5156255530
91723170766
10700013400
1132a159479
12176524420
13b2045518
1468d7ccd2
15416c65a0
hex29b95b58

700013400 has 96 divisors (see below), whose sum is σ = 2211086160. Its totient is φ = 183139840.

The previous prime is 700013393. The next prime is 700013407. The reversal of 700013400 is 4310007.

It is an interprime number because it is at equal distance from previous prime (700013393) and next prime (700013407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 700013400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700013407) 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, 20794 + ... + 42806.

Almost surely, 2700013400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105543080).

700013400 is an abundant number, since it is smaller than the sum of its proper divisors (1511072760).

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

700013400 is a wasteful number, since it uses less digits than its factorization.

700013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 700013400 is about 26457.7663456309. The cubic root of 700013400 is about 887.9096673796.

Adding to 700013400 its reverse (4310007), we get a palindrome (704323407).

The spelling of 700013400 in words is "seven hundred million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 5300 6360 7950 10600 15900 22013 31800 44026 66039 88052 110065 132078 176104 220130 264156 330195 440260 528312 550325 660390 880520 1100650 1166689 1320780 1650975 2201300 2333378 2641560 3301950 3500067 4402600 4666756 5833445 6603900 7000134 9333512 11666890 13207800 14000268 17500335 23333780 28000536 29167225 35000670 46667560 58334450 70001340 87501675 116668900 140002680 175003350 233337800 350006700 700013400