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1040321120 = 25517973943
BaseRepresentation
bin111110000000100…
…000101001100000
32200111112210021212
4332000200221200
54112310233440
6251121405252
734531404116
oct7600405140
92614483255
101040321120
11494263723
12250499828
131376b6c37
149c245ab6
15614e8465
hex3e020a60

1040321120 has 96 divisors (see below), whose sum is σ = 2629827648. Its totient is φ = 387514368.

The previous prime is 1040321111. The next prime is 1040321143. The reversal of 1040321120 is 211230401.

It is a junction number, because it is equal to n+sod(n) for n = 1040321095 and 1040321104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261869 + ... + 265811.

It is an arithmetic number, because the mean of its divisors is an integer number (27394038).

Almost surely, 21040321120 is an apocalyptic number.

1040321120 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 1040321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314913824).

1040321120 is an abundant number, since it is smaller than the sum of its proper divisors (1589506528).

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

1040321120 is a wasteful number, since it uses less digits than its factorization.

1040321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1040321120 is about 32254.0093631784. The cubic root of 1040321120 is about 1013.2636705727.

Adding to 1040321120 its reverse (211230401), we get a palindrome (1251551521).

The spelling of 1040321120 in words is "one billion, forty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 97 136 160 170 194 272 340 388 485 544 680 776 970 1360 1552 1649 1940 2720 3104 3298 3880 3943 6596 7760 7886 8245 13192 15520 15772 16490 19715 26384 31544 32980 39430 52768 63088 65960 67031 78860 126176 131920 134062 157720 263840 268124 315440 335155 382471 536248 630880 670310 764942 1072496 1340620 1529884 1912355 2144992 2681240 3059768 3824710 5362480 6119536 6502007 7649420 10724960 12239072 13004014 15298840 26008028 30597680 32510035 52016056 61195360 65020070 104032112 130040140 208064224 260080280 520160560 1040321120