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1070814040 = 23537977459
BaseRepresentation
bin111111110100110…
…101001101011000
32202121220222201021
4333310311031120
54143112022130
6254131132224
735351524552
oct7764651530
92677828637
101070814040
114aa4a048a
1225a744074
13140b0239a
14a23024d2
156401d37a
hex3fd35358

1070814040 has 64 divisors (see below), whose sum is σ = 2500293600. Its totient is φ = 412397568.

The previous prime is 1070814029. The next prime is 1070814047. The reversal of 1070814040 is 404180701.

It is a super-3 number, since 3×10708140403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1070813996 and 1070814014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070814047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139831 + ... + 147289.

Almost surely, 21070814040 is an apocalyptic number.

1070814040 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 1070814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250146800).

1070814040 is an abundant number, since it is smaller than the sum of its proper divisors (1429479560).

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

1070814040 is a wasteful number, since it uses less digits than its factorization.

1070814040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 1070814040 is about 32723.2950663591. The cubic root of 1070814040 is about 1023.0684353153.

Adding to 1070814040 its reverse (404180701), we get a palindrome (1474994741).

The spelling of 1070814040 in words is "one billion, seventy million, eight hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 97 148 185 194 296 370 388 485 740 776 970 1480 1940 3589 3880 7178 7459 14356 14918 17945 28712 29836 35890 37295 59672 71780 74590 143560 149180 275983 298360 551966 723523 1103932 1379915 1447046 2207864 2759830 2894092 3617615 5519660 5788184 7235230 11039320 14470460 26770351 28940920 53540702 107081404 133851755 214162808 267703510 535407020 1070814040