Search a number
-
+
1074253120 = 26517593347
BaseRepresentation
bin100000000000111…
…1100110101000000
32202212101201020121
41000001330311000
54200002044440
6254332550024
735423000203
oct10001746500
92685351217
101074253120
1150142a2a6
1225b922314
13141737845
14a295993a
156449c34a
hex4007cd40

1074253120 has 112 divisors (see below), whose sum is σ = 2755270080. Its totient is φ = 397451264.

The previous prime is 1074253093. The next prime is 1074253123. The reversal of 1074253120 is 213524701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074253123) 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, 319287 + ... + 322633.

Almost surely, 21074253120 is an apocalyptic number.

1074253120 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 1074253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377635040).

1074253120 is an abundant number, since it is smaller than the sum of its proper divisors (1681016960).

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

1074253120 is a wasteful number, since it uses less digits than its factorization.

1074253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1074253120 is about 32775.8008292704. The cubic root of 1074253120 is about 1024.1625108289.

Adding to 1074253120 its reverse (213524701), we get a palindrome (1287777821).

The spelling of 1074253120 in words is "one billion, seventy-four million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 64 68 80 85 118 136 160 170 236 272 295 320 340 472 544 590 680 944 1003 1088 1180 1360 1888 2006 2360 2720 3347 3776 4012 4720 5015 5440 6694 8024 9440 10030 13388 16048 16735 18880 20060 26776 32096 33470 40120 53552 56899 64192 66940 80240 107104 113798 133880 160480 197473 214208 227596 267760 284495 320960 394946 455192 535520 568990 789892 910384 987365 1071040 1137980 1579784 1820768 1974730 2275960 3159568 3357041 3641536 3949460 4551920 6319136 6714082 7898920 9103840 12638272 13428164 15797840 16785205 18207680 26856328 31595680 33570410 53712656 63191360 67140820 107425312 134281640 214850624 268563280 537126560 1074253120