Search a number
-
+
5587120890 = 232513172571093
BaseRepresentation
bin1010011010000010…
…01011001011111010
3112102101011011000100
411031001023023322
542420300332030
62322223220230
7255311513121
oct51501131372
915371134010
105587120890
11240786968a
1210bb147676
136b06982c0
143b0054ab8
1522a77d360
hex14d04b2fa

5587120890 has 192 divisors, whose sum is σ = 16643835936. Its totient is φ = 1288175616.

The previous prime is 5587120883. The next prime is 5587120901. The reversal of 5587120890 is 980217855.

It is a happy number.

5587120890 is a `hidden beast` number, since 558 + 7 + 1 + 2 + 0 + 8 + 90 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3625605369 + 1961515521 = 60213^2 + 44289^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5111184 + ... + 5112276.

Almost surely, 25587120890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5587120890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321917968).

5587120890 is an abundant number, since it is smaller than the sum of its proper divisors (11056715046).

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

5587120890 is a wasteful number, since it uses less digits than its factorization.

5587120890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5587120890 is about 74747.0460285890. The cubic root of 5587120890 is about 1774.4455997863.

The spelling of 5587120890 in words is "five billion, five hundred eighty-seven million, one hundred twenty thousand, eight hundred ninety".