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70072240 = 2457157797
BaseRepresentation
bin1000010110100…
…11011110110000
311212212001001011
410023103132300
5120414302430
610541520304
71510414150
oct413233660
9155761034
1070072240
1136610347
121b573094
1311695684
149440760
15624222a
hex42d37b0

70072240 has 80 divisors (see below), whose sum is σ = 187612992. Its totient is φ = 23841792.

The previous prime is 70072229. The next prime is 70072279. The reversal of 70072240 is 4227007.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 87522 + ... + 88318.

Almost surely, 270072240 is an apocalyptic number.

70072240 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 70072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93806496).

70072240 is an abundant number, since it is smaller than the sum of its proper divisors (117540752).

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

70072240 is a wasteful number, since it uses less digits than its factorization.

70072240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 70072240 is about 8370.9163178233. The cubic root of 70072240 is about 412.2702534535.

Adding to 70072240 its reverse (4227007), we get a palindrome (74299247).

The spelling of 70072240 in words is "seventy million, seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 157 280 314 560 628 785 797 1099 1256 1570 1594 2198 2512 3140 3188 3985 4396 5495 5579 6280 6376 7970 8792 10990 11158 12560 12752 15940 17584 21980 22316 27895 31880 43960 44632 55790 63760 87920 89264 111580 125129 223160 250258 446320 500516 625645 875903 1001032 1251290 1751806 2002064 2502580 3503612 4379515 5005160 7007224 8759030 10010320 14014448 17518060 35036120 70072240