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1040070132 = 22361720981
BaseRepresentation
bin111101111111100…
…011010111110100
32200111002001000000
4331333203113310
54112224221012
6251112151300
734526310303
oct7577432764
92614061000
101040070132
114941020a2
12250398530
1313762991a
149c1bc43a
1561498ddc
hex3dfe35f4

1040070132 has 84 divisors (see below), whose sum is σ = 2889599076. Its totient is φ = 326280960.

The previous prime is 1040070131. The next prime is 1040070133. The reversal of 1040070132 is 2310700401.

It is an interprime number because it is at equal distance from previous prime (1040070131) and next prime (1040070133).

It can be written as a sum of positive squares in 2 ways, for example, as 674648676 + 365421456 = 25974^2 + 19116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040070131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 39082 + ... + 60062.

It is an arithmetic number, because the mean of its divisors is an integer number (34399989).

Almost surely, 21040070132 is an apocalyptic number.

1040070132 is a gapful number since it is divisible by the number (12) 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 1040070132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444799538).

1040070132 is an abundant number, since it is smaller than the sum of its proper divisors (1849528944).

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

1040070132 is a wasteful number, since it uses less digits than its factorization.

1040070132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21020 (or 21003 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1040070132 is about 32250.1183253643. The cubic root of 1040070132 is about 1013.1821773132.

Adding to 1040070132 its reverse (2310700401), we get a palindrome (3350770533).

The spelling of 1040070132 in words is "one billion, forty million, seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2754 2916 4131 5508 8262 12393 16524 20981 24786 41962 49572 62943 83924 125886 188829 251772 356677 377658 566487 713354 755316 1070031 1132974 1426708 1699461 2140062 2265948 3210093 3398922 4280124 5098383 6420186 6797844 9630279 10196766 12840372 15295149 19260558 20393532 28890837 30590298 38521116 57781674 61180596 86672511 115563348 173345022 260017533 346690044 520035066 1040070132