Search a number
-
+
1070017020 = 223351981513
BaseRepresentation
bin111111110001110…
…010100111111100
32202120102111102000
4333301302213330
54142411021040
6254102102300
735341665102
oct7761624774
92676374360
101070017020
114a9aa6696
1225a41a990
131408b3687
14a2175c72
1563e12130
hex3fc729fc

1070017020 has 48 divisors (see below), whose sum is σ = 3328943520. Its totient is φ = 285337728.

The previous prime is 1070016919. The next prime is 1070017033. The reversal of 1070017020 is 207100701.

It is a super-2 number, since 2×10700170202 = 2289872846179360800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1070016984 and 1070017002.

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, 990217 + ... + 991296.

It is an arithmetic number, because the mean of its divisors is an integer number (69352990).

Almost surely, 21070017020 is an apocalyptic number.

1070017020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070017020 is an abundant number, since it is smaller than the sum of its proper divisors (2258926500).

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

1070017020 is a wasteful number, since it uses less digits than its factorization.

1070017020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981531 (or 1981523 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1070017020 is about 32711.1146248488. The cubic root of 1070017020 is about 1022.8145448597.

Adding to 1070017020 its reverse (207100701), we get a palindrome (1277117721).

The spelling of 1070017020 in words is "one billion, seventy million, seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1981513 3963026 5944539 7926052 9907565 11889078 17833617 19815130 23778156 29722695 35667234 39630260 53500851 59445390 71334468 89168085 107001702 118890780 178336170 214003404 267504255 356672340 535008510 1070017020