Search a number
-
+
1070502480 = 24355531039
BaseRepresentation
bin111111110011101…
…001001001010000
32202121100011100000
4333303221021100
54143022034410
6254120330000
735346056325
oct7763511120
92677304300
101070502480
114aa2a83a3
1225a613900
13140a23628
14a2260b4c
1563eaadc0
hex3fce9250

1070502480 has 240 divisors, whose sum is σ = 3802256640. Its totient is φ = 279811584.

The previous prime is 1070502469. The next prime is 1070502527. The reversal of 1070502480 is 842050701.

1070502480 is a `hidden beast` number, since 10 + 70 + 502 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10705024802 = 2291951119372300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029801 + ... + 1030839.

It is an arithmetic number, because the mean of its divisors is an integer number (15842736).

Almost surely, 21070502480 is an apocalyptic number.

1070502480 is a gapful number since it is divisible by the number (10) 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 1070502480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901128320).

1070502480 is an abundant number, since it is smaller than the sum of its proper divisors (2731754160).

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

1070502480 is a wasteful number, since it uses less digits than its factorization.

1070502480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1070502480 is about 32718.5341969961. The cubic root of 1070502480 is about 1022.9692029841.

The spelling of 1070502480 in words is "one billion, seventy million, five hundred two thousand, four hundred eighty".