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70114032 = 24331091489
BaseRepresentation
bin1000010110111…
…01101011110000
311212221011101000
410023131223300
5120422122112
610542442000
71510650042
oct413355360
9155834330
1070114032
113663978a
121b593300
13116ab6c1
149451a92
15624e7dc
hex42ddaf0

70114032 has 80 divisors (see below), whose sum is σ = 203236000. Its totient is φ = 23141376.

The previous prime is 70114027. The next prime is 70114049. The reversal of 70114032 is 23041107.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 70113996 and 70114014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46344 + ... + 47832.

It is an arithmetic number, because the mean of its divisors is an integer number (2540450).

Almost surely, 270114032 is an apocalyptic number.

70114032 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 70114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101618000).

70114032 is an abundant number, since it is smaller than the sum of its proper divisors (133121968).

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

70114032 is a wasteful number, since it uses less digits than its factorization.

70114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 70114032 is about 8373.4122076965. The cubic root of 70114032 is about 412.3521982876.

Adding to 70114032 its reverse (23041107), we get a palindrome (93155139).

The spelling of 70114032 in words is "seventy million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1489 1744 1962 2616 2943 2978 3924 4467 5232 5886 5956 7848 8934 11772 11912 13401 15696 17868 23544 23824 26802 35736 40203 47088 53604 71472 80406 107208 160812 162301 214416 321624 324602 486903 643248 649204 973806 1298408 1460709 1947612 2596816 2921418 3895224 4382127 5842836 7790448 8764254 11685672 17528508 23371344 35057016 70114032