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5215513440 = 253511039851
BaseRepresentation
bin1001101101101111…
…00110101101100000
3111110110220112102110
410312313212231200
541140132412230
62221310315320
7243150063354
oct46667465540
914413815373
105215513440
112237026495
1210167b8b40
136516b8137
14376961464
15207d274b0
hex136de6b60

5215513440 has 96 divisors (see below), whose sum is σ = 16445431296. Its totient is φ = 1389401600.

The previous prime is 5215513421. The next prime is 5215513469. The reversal of 5215513440 is 443155125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5215513398 and 5215513407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524515 + ... + 534365.

It is an arithmetic number, because the mean of its divisors is an integer number (171306576).

Almost surely, 25215513440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5215513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222715648).

5215513440 is an abundant number, since it is smaller than the sum of its proper divisors (11229917856).

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

5215513440 is a wasteful number, since it uses less digits than its factorization.

5215513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5215513440 is about 72218.5117542587. The cubic root of 5215513440 is about 1734.1993653881.

Adding to 5215513440 its reverse (443155125), we get a palindrome (5658668565).

The spelling of 5215513440 in words is "five billion, two hundred fifteen million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1103 2206 3309 4412 5515 6618 8824 9851 11030 13236 16545 17648 19702 22060 26472 29553 33090 35296 39404 44120 49255 52944 59106 66180 78808 88240 98510 105888 118212 132360 147765 157616 176480 197020 236424 264720 295530 315232 394040 472848 529440 591060 788080 945696 1182120 1576160 2364240 4728480 10865653 21731306 32596959 43462612 54328265 65193918 86925224 108656530 130387836 162984795 173850448 217313060 260775672 325969590 347700896 434626120 521551344 651939180 869252240 1043102688 1303878360 1738504480 2607756720 5215513440