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5415514000 = 245313316719
BaseRepresentation
bin1010000101100101…
…00010111110010000
3111222102020121121121
411002302202332100
542042332422000
62253213132024
7251126052361
oct50262427620
914872217547
105415514000
112329a09906
12107178a014
13683c72770
14395343b68
1521a681b1a
hex142ca2f90

5415514000 has 160 divisors (see below), whose sum is σ = 14559068160. Its totient is φ = 1934784000.

The previous prime is 5415513953. The next prime is 5415514021. The reversal of 5415514000 is 4155145.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 802641 + ... + 809359.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 25415514000 is an apocalyptic number.

5415514000 is a gapful number since it is divisible by the number (50) 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 5415514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

5415514000 is an abundant number, since it is smaller than the sum of its proper divisors (9143554160).

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

5415514000 is a wasteful number, since it uses less digits than its factorization.

5415514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5415514000 is about 73590.1759747862. The cubic root of 5415514000 is about 1756.0891554507.

Adding to 5415514000 its reverse (4155145), we get a palindrome (5419669145).

The spelling of 5415514000 in words is "five billion, four hundred fifteen million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 31 40 50 52 62 65 80 100 104 124 125 130 155 200 208 248 250 260 310 325 400 403 496 500 520 620 650 775 806 1000 1040 1240 1300 1550 1612 1625 2000 2015 2480 2600 3100 3224 3250 3875 4030 5200 6200 6448 6500 6719 7750 8060 10075 12400 13000 13438 15500 16120 20150 26000 26876 31000 32240 33595 40300 50375 53752 62000 67190 80600 87347 100750 107504 134380 161200 167975 174694 201500 208289 268760 335950 349388 403000 416578 436735 537520 671900 698776 806000 833156 839875 873470 1041445 1343800 1397552 1666312 1679750 1746940 2082890 2183675 2687600 2707757 3332624 3359500 3493880 4165780 4367350 5207225 5415514 6719000 6987760 8331560 8734700 10414450 10831028 10918375 13438000 13538785 16663120 17469400 20828900 21662056 21836750 26036125 27077570 34938800 41657800 43324112 43673500 52072250 54155140 67693925 83315600 87347000 104144500 108310280 135387850 174694000 208289000 216620560 270775700 338469625 416578000 541551400 676939250 1083102800 1353878500 2707757000 5415514000