Search a number
-
+
70431200 = 2552712577
BaseRepresentation
bin1000011001010…
…11000111100000
311220112021102222
410030223013200
5121012244300
610553330212
71513440530
oct414530740
9156467388
1070431200
1136836004
121b706968
131178cb88
1494d54c0
1562b3785
hex432b1e0

70431200 has 72 divisors (see below), whose sum is σ = 196518672. Its totient is φ = 24145920.

The previous prime is 70431197. The next prime is 70431211. The reversal of 70431200 is 213407.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689 + ... + 11888.

It is an arithmetic number, because the mean of its divisors is an integer number (2729426).

Almost surely, 270431200 is an apocalyptic number.

70431200 is a gapful number since it is divisible by the number (70) 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 70431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98259336).

70431200 is an abundant number, since it is smaller than the sum of its proper divisors (126087472).

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

70431200 is a wasteful number, since it uses less digits than its factorization.

70431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 12591 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 70431200 is about 8392.3298314592. The cubic root of 70431200 is about 412.9730355441.

Adding to 70431200 its reverse (213407), we get a palindrome (70644607).

The spelling of 70431200 in words is "seventy million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 12577 25154 50308 62885 88039 100616 125770 176078 201232 251540 314425 352156 402464 440195 503080 628850 704312 880390 1006160 1257700 1408624 1760780 2012320 2200975 2515400 2817248 3521560 4401950 5030800 7043120 8803900 10061600 14086240 17607800 35215600 70431200