Search a number
-
+
1018938690 = 234571117312
BaseRepresentation
bin111100101110111…
…100010101000010
32122000022110010000
4330232330111002
54041322014230
6245035220430
734151556510
oct7456742502
92560273100
101018938690
114831897a0
122452a7716
1313313b503
149947b4b0
155e6c2b60
hex3cbbc542

1018938690 has 480 divisors, whose sum is σ = 3737238912. Its totient is φ = 192844800.

The previous prime is 1018938689. The next prime is 1018938691. The reversal of 1018938690 is 968398101.

1018938690 is a `hidden beast` number, since 1 + 0 + 189 + 386 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (1018938689) and next prime (1018938691).

It is a super-2 number, since 2×10189386902 = 2076472107957832200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1018938691) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32868975 + ... + 32869005.

Almost surely, 21018938690 is an apocalyptic number.

1018938690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018938690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868619456).

1018938690 is an abundant number, since it is smaller than the sum of its proper divisors (2718300222).

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

1018938690 is a wasteful number, since it uses less digits than its factorization.

1018938690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1018938690 is about 31920.8190684387. The cubic root of 1018938690 is about 1006.2734580903.

The spelling of 1018938690 in words is "one billion, eighteen million, nine hundred thirty-eight thousand, six hundred ninety".