Search a number
-
+
15430520000 = 2654755109
BaseRepresentation
bin11100101111011101…
…10000110011000000
31110211101020122002202
432113232300303000
5223100203120000
611031053332332
71054245153530
oct162756606300
943741218082
1015430520000
1165a9143075
122ba77970a8
1315bbab520c
14a654914c0
15604a05dd5
hex397bb0cc0

15430520000 has 140 divisors (see below), whose sum is σ = 43729564560. Its totient is φ = 5290368000.

The previous prime is 15430519921. The next prime is 15430520087. The reversal of 15430520000 is 2503451.

15430520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 252446 + ... + 307554.

Almost surely, 215430520000 is an apocalyptic number.

15430520000 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 15430520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864782280).

15430520000 is an abundant number, since it is smaller than the sum of its proper divisors (28299044560).

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

15430520000 is an frugal number, since it uses more digits than its factorization.

15430520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55148 (or 55123 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 15430520000 in words is "fifteen billion, four hundred thirty million, five hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 55109 56000 70000 110218 140000 220436 275545 280000 385763 440872 551090 771526 881744 1102180 1377725 1543052 1763488 1928815 2204360 2755450 3086104 3526976 3857630 4408720 5510900 6172208 6888625 7715260 8817440 9644075 11021800 12344416 13777250 15430520 17634880 19288150 22043600 24688832 27554500 30861040 34443125 38576300 44087200 48220375 55109000 61722080 68886250 77152600 88174400 96440750 110218000 123444160 137772500 154305200 192881500 220436000 241101875 275545000 308610400 385763000 440872000 482203750 551090000 617220800 771526000 964407500 1102180000 1543052000 1928815000 2204360000 3086104000 3857630000 7715260000 15430520000