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1231520040 = 233255995711
BaseRepresentation
bin100100101100111…
…1000000100101000
310011211022200220100
41021121320010220
510010232120130
6322111425400
742342514302
oct11131700450
93154280810
101231520040
11582185263
122a4525260
131681ac2aa
14b97b6972
15731b4c60
hex49678128

1231520040 has 96 divisors (see below), whose sum is σ = 4009824000. Its totient is φ = 327799680.

The previous prime is 1231520021. The next prime is 1231520071. The reversal of 1231520040 is 400251321.

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

It is a junction number, because it is equal to n+sod(n) for n = 1231519995 and 1231520022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212785 + ... + 218495.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 21231520040 is an apocalyptic number.

1231520040 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 1231520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1231520040 is an abundant number, since it is smaller than the sum of its proper divisors (2778303960).

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

1231520040 is a wasteful number, since it uses less digits than its factorization.

1231520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1231520040 is about 35093.0198187617. The cubic root of 1231520040 is about 1071.8824521181.

Adding to 1231520040 its reverse (400251321), we get a palindrome (1631771361).

The spelling of 1231520040 in words is "one billion, two hundred thirty-one million, five hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 599 1198 1797 2396 2995 3594 4792 5391 5711 5990 7188 8985 10782 11422 11980 14376 17133 17970 21564 22844 23960 26955 28555 34266 35940 43128 45688 51399 53910 57110 68532 71880 85665 102798 107820 114220 137064 171330 205596 215640 228440 256995 342660 411192 513990 685320 1027980 2055960 3420889 6841778 10262667 13683556 17104445 20525334 27367112 30788001 34208890 41050668 51313335 61576002 68417780 82101336 102626670 123152004 136835560 153940005 205253340 246304008 307880010 410506680 615760020 1231520040