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1480691340 = 223551991531
BaseRepresentation
bin101100001000001…
…1000111010001100
310211012011220200000
41120100120322030
511013024110330
6402532204300
751456445242
oct13020307214
93735156600
101480691340
1169a8a2357
12353a69690
131a79c172b
14100918792
1589ed3560
hex58418e8c

1480691340 has 144 divisors (see below), whose sum is σ = 4684243200. Its totient is φ = 392610240.

The previous prime is 1480691327. The next prime is 1480691341. The reversal of 1480691340 is 431960841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1480691295 and 1480691304.

It is not an unprimeable number, because it can be changed into a prime (1480691341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966375 + ... + 967905.

Almost surely, 21480691340 is an apocalyptic number.

1480691340 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 1480691340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342121600).

1480691340 is an abundant number, since it is smaller than the sum of its proper divisors (3203551860).

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

1480691340 is a wasteful number, since it uses less digits than its factorization.

1480691340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1480691340 is about 38479.7523380803. The cubic root of 1480691340 is about 1139.7812599705.

The spelling of 1480691340 in words is "one billion, four hundred eighty million, six hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 243 270 324 398 405 486 540 597 796 810 972 995 1194 1215 1531 1620 1791 1990 2388 2430 2985 3062 3582 3980 4593 4860 5373 5970 6124 7164 7655 8955 9186 10746 11940 13779 15310 16119 17910 18372 21492 22965 26865 27558 30620 32238 35820 41337 45930 48357 53730 55116 64476 68895 80595 82674 91860 96714 107460 124011 137790 161190 165348 193428 206685 241785 248022 275580 304669 322380 372033 413370 483570 496044 609338 620055 744066 826740 914007 967140 1218676 1240110 1488132 1523345 1828014 1860165 2480220 2742021 3046690 3656028 3720330 4570035 5484042 6093380 7440660 8226063 9140070 10968084 13710105 16452126 18280140 24678189 27420210 32904252 41130315 49356378 54840420 74034567 82260630 98712756 123390945 148069134 164521260 246781890 296138268 370172835 493563780 740345670 1480691340