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70772000 = 2553131361
BaseRepresentation
bin1000011011111…
…10010100100000
311221011120221012
410031332110200
5121104201000
611004520052
71516360235
oct415762440
9157146835
1070772000
1136a49062
121b850028
131187c030
14958378c
15632e735
hex437e520

70772000 has 96 divisors (see below), whose sum is σ = 187400304. Its totient is φ = 26112000.

The previous prime is 70771993. The next prime is 70772011. The reversal of 70772000 is 27707.

It can be written as a sum of positive squares in 8 ways, for example, as 2676496 + 68095504 = 1636^2 + 8252^2 .

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, 51320 + ... + 52680.

Almost surely, 270772000 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 70772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93700152).

70772000 is an abundant number, since it is smaller than the sum of its proper divisors (116628304).

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

70772000 is a wasteful number, since it uses less digits than its factorization.

70772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 23.

The square root of 70772000 is about 8412.6095832387. The cubic root of 70772000 is about 413.6380571740.

Adding to 70772000 its reverse (27707), we get a palindrome (70799707).

The spelling of 70772000 in words is "seventy million, seven hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1361 1625 2000 2080 2600 2722 3250 4000 5200 5444 6500 6805 10400 10888 13000 13610 17693 21776 26000 27220 34025 35386 43552 52000 54440 68050 70772 88465 108880 136100 141544 170125 176930 217760 272200 283088 340250 353860 442325 544400 566176 680500 707720 884650 1088800 1361000 1415440 1769300 2211625 2722000 2830880 3538600 4423250 5444000 7077200 8846500 14154400 17693000 35386000 70772000