Search a number
-
+
700021152 = 25324994871
BaseRepresentation
bin101001101110010…
…111100110100000
31210210012202111100
4221232113212200
52413201134102
6153243514400
723230036665
oct5156274640
91723182440
10700021152
1132a164286
12176528a00
13b2048bcc
1468d81a6c
15416c8a1c
hex29b979a0

700021152 has 72 divisors (see below), whose sum is σ = 1995084000. Its totient is φ = 232824960.

The previous prime is 700021139. The next prime is 700021183. The reversal of 700021152 is 251120007.

700021152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7000211522 = 980059226494814208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 141277 + ... + 146147.

It is an arithmetic number, because the mean of its divisors is an integer number (27709500).

Almost surely, 2700021152 is an apocalyptic number.

700021152 is a gapful number since it is divisible by the number (72) 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 700021152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997542000).

700021152 is an abundant number, since it is smaller than the sum of its proper divisors (1295062848).

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

700021152 is a wasteful number, since it uses less digits than its factorization.

700021152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 700021152 is about 26457.9128428529. The cubic root of 700021152 is about 887.9129449599.

Adding to 700021152 its reverse (251120007), we get a palindrome (951141159).

The spelling of 700021152 in words is "seven hundred million, twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 499 998 1497 1996 2994 3992 4491 4871 5988 7984 8982 9742 11976 14613 15968 17964 19484 23952 29226 35928 38968 43839 47904 58452 71856 77936 87678 116904 143712 155872 175356 233808 350712 467616 701424 1402848 2430629 4861258 7291887 9722516 14583774 19445032 21875661 29167548 38890064 43751322 58335096 77780128 87502644 116670192 175005288 233340384 350010576 700021152