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1401003120 = 243511601883
BaseRepresentation
bin101001110000001…
…1001110001110000
310121122020022222110
41103200121301300
510332124044440
6351004205320
746501221126
oct12340316160
93548208873
101401003120
11659914420
12331239840
1319434023a
14d40d3916
1582ee2080
hex53819c70

1401003120 has 160 divisors (see below), whose sum is σ = 4751195904. Its totient is φ = 338688000.

The previous prime is 1401003083. The next prime is 1401003139. The reversal of 1401003120 is 213001041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1401003096 and 1401003105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586199 + ... + 1587081.

Almost surely, 21401003120 is an apocalyptic number.

1401003120 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 1401003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375597952).

1401003120 is an abundant number, since it is smaller than the sum of its proper divisors (3350192784).

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

1401003120 is a wasteful number, since it uses less digits than its factorization.

1401003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1401003120 is about 37429.9762222740. The cubic root of 1401003120 is about 1118.9560638288.

Adding to 1401003120 its reverse (213001041), we get a palindrome (1614004161).

The spelling of 1401003120 in words is "one billion, four hundred one million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 601 660 880 883 1202 1320 1766 1803 2404 2640 2649 3005 3532 3606 4415 4808 5298 6010 6611 7064 7212 8830 9015 9616 9713 10596 12020 13222 13245 14128 14424 17660 18030 19426 19833 21192 24040 26444 26490 28848 29139 33055 35320 36060 38852 39666 42384 48080 48565 52888 52980 58278 66110 70640 72120 77704 79332 97130 99165 105776 105960 116556 132220 144240 145695 155408 158664 194260 198330 211920 233112 264440 291390 317328 388520 396660 466224 528880 530683 582780 777040 793320 1061366 1165560 1586640 1592049 2122732 2331120 2653415 3184098 4245464 5306830 5837513 6368196 7960245 8490928 10613660 11675026 12736392 15920490 17512539 21227320 23350052 25472784 29187565 31840980 35025078 42454640 46700104 58375130 63681960 70050156 87562695 93400208 116750260 127363920 140100312 175125390 233500520 280200624 350250780 467001040 700501560 1401003120