Search a number
-
+
70014900 = 22352419557
BaseRepresentation
bin1000010110001…
…01011110110100
311212202010101110
410023011132310
5120410434100
610540355020
71510055034
oct413053664
9155663343
1070014900
113658125a
121b545a70
1311675547
1494278c4
156230250
hex42c57b4

70014900 has 72 divisors (see below), whose sum is σ = 203424480. Its totient is φ = 18592640.

The previous prime is 70014883. The next prime is 70014907. The reversal of 70014900 is 941007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70014907) 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, 125422 + ... + 125978.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 270014900 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 70014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101712240).

70014900 is an abundant number, since it is smaller than the sum of its proper divisors (133409580).

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

70014900 is a wasteful number, since it uses less digits than its factorization.

70014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 70014900 is about 8367.4906632753. The cubic root of 70014900 is about 412.1577694068.

Adding to 70014900 its reverse (941007), we get a palindrome (70955907).

The spelling of 70014900 in words is "seventy million, fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 557 838 1114 1257 1671 1676 2095 2228 2514 2785 3342 4190 5028 5570 6285 6684 8355 8380 10475 11140 12570 13925 16710 20950 25140 27850 31425 33420 41775 41900 55700 62850 83550 125700 167100 233383 466766 700149 933532 1166915 1400298 2333830 2800596 3500745 4667660 5834575 7001490 11669150 14002980 17503725 23338300 35007450 70014900