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1241023320 = 2332516321149
BaseRepresentation
bin100100111111000…
…1000001101011000
310012111012111221200
41021332020031120
510020200221240
6323051234200
742516344535
oct11176101530
93174174850
101241023320
11587586209
122a7748960
1316a158a34
14bab6bd8c
1573e40930
hex49f88358

1241023320 has 96 divisors (see below), whose sum is σ = 4058262000. Its totient is φ = 328893696.

The previous prime is 1241023319. The next prime is 1241023363. The reversal of 1241023320 is 233201421.

1241023320 is a `hidden beast` number, since 1 + 2 + 410 + 233 + 20 = 666.

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 = 1241023293 and 1241023302.

It is a congruent number.

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, 48106 + ... + 69254.

Almost surely, 21241023320 is an apocalyptic number.

1241023320 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 1241023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029131000).

1241023320 is an abundant number, since it is smaller than the sum of its proper divisors (2817238680).

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

1241023320 is a wasteful number, since it uses less digits than its factorization.

1241023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21329 (or 21322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1241023320 is about 35228.1608943754. The cubic root of 1241023320 is about 1074.6325248393.

Adding to 1241023320 its reverse (233201421), we get a palindrome (1474224741).

The spelling of 1241023320 in words is "one billion, two hundred forty-one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 21149 29340 42298 58680 63447 84596 105745 126894 169192 190341 211490 253788 317235 380682 422980 507576 634470 761364 845960 951705 1268940 1522728 1903410 2537880 3447287 3806820 6894574 7613640 10341861 13789148 17236435 20683722 27578296 31025583 34472870 41367444 51709305 62051166 68945740 82734888 103418610 124102332 137891480 155127915 206837220 248204664 310255830 413674440 620511660 1241023320