Search a number
-
+
88070580 = 223251361617
BaseRepresentation
bin1010011111111…
…01100110110100
320010201110010100
411033331212310
5140021224310
612423354100
72116405353
oct517754664
9203643110
1088070580
1145793804
12255b2930
1315327990
14b9a799a
157ae9ec0
hex53fd9b4

88070580 has 144 divisors (see below), whose sum is σ = 292887504. Its totient is φ = 21288960.

The previous prime is 88070561. The next prime is 88070603. The reversal of 88070580 is 8507088.

88070580 is a `hidden beast` number, since 8 + 8 + 0 + 70 + 580 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51926436 + 36144144 = 7206^2 + 6012^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142432 + ... + 143048.

It is an arithmetic number, because the mean of its divisors is an integer number (2033941).

Almost surely, 288070580 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 88070580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146443752).

88070580 is an abundant number, since it is smaller than the sum of its proper divisors (204816924).

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

88070580 is a wasteful number, since it uses less digits than its factorization.

88070580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 88070580 is about 9384.5926922803. The cubic root of 88070580 is about 444.9149018776.

The spelling of 88070580 in words is "eighty-eight million, seventy thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 78 90 117 122 130 156 180 183 195 234 244 260 305 366 390 468 549 585 610 617 732 780 793 915 1098 1170 1220 1234 1586 1830 1851 2196 2340 2379 2468 2745 3085 3172 3660 3702 3965 4758 5490 5553 6170 7137 7404 7930 8021 9255 9516 10980 11106 11895 12340 14274 15860 16042 18510 22212 23790 24063 27765 28548 32084 35685 37020 37637 40105 47580 48126 55530 71370 72189 75274 80210 96252 111060 112911 120315 142740 144378 150548 160420 188185 225822 240630 288756 338733 360945 376370 451644 481260 489281 564555 677466 721890 752740 978562 1129110 1354932 1443780 1467843 1693665 1957124 2258220 2446405 2935686 3387330 4403529 4892810 5871372 6774660 7339215 8807058 9785620 14678430 17614116 22017645 29356860 44035290 88070580