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1314247000 = 235311157761
BaseRepresentation
bin100111001010101…
…1101000101011000
310101120222122221211
41032111131011120
510142421401000
6334224512504
744365625623
oct11625350530
93346878854
101314247000
11614949250
1230817b734
1317c385961
14c678cdba
157a5a67ba
hex4e55d158

1314247000 has 128 divisors (see below), whose sum is σ = 3380719680. Its totient is φ = 474240000.

The previous prime is 1314246971. The next prime is 1314247019. The reversal of 1314247000 is 7424131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726620 + ... + 1727380.

Almost surely, 21314247000 is an apocalyptic number.

1314247000 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 1314247000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690359840).

1314247000 is an abundant number, since it is smaller than the sum of its proper divisors (2066472680).

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

1314247000 is a wasteful number, since it uses less digits than its factorization.

1314247000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1314247000 is about 36252.5447382663. The cubic root of 1314247000 is about 1095.3653486432.

The spelling of 1314247000 in words is "one billion, three hundred fourteen million, two hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 157 200 220 250 275 314 440 500 550 628 761 785 1000 1100 1256 1375 1522 1570 1727 2200 2750 3044 3140 3454 3805 3925 5500 6088 6280 6908 7610 7850 8371 8635 11000 13816 15220 15700 16742 17270 19025 19625 30440 31400 33484 34540 38050 39250 41855 43175 66968 69080 76100 78500 83710 86350 95125 119477 152200 157000 167420 172700 190250 209275 215875 238954 334840 345400 380500 418550 431750 477908 597385 761000 837100 863500 955816 1046375 1194770 1314247 1674200 1727000 2092750 2389540 2628494 2986925 4185500 4779080 5256988 5973850 6571235 8371000 10513976 11947700 13142470 14934625 23895400 26284940 29869250 32856175 52569880 59738500 65712350 119477000 131424700 164280875 262849400 328561750 657123500 1314247000