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1215116040 = 233526937643
BaseRepresentation
bin100100001101101…
…0011001100001000
310010200110021211210
41020123103030020
54442032203130
6320324053120
742053213235
oct11033231410
93120407753
101215116040
115739a0736
1229ab341a0
13164987898
14b754678c
1571a245b0
hex486d3308

1215116040 has 64 divisors (see below), whose sum is σ = 3658996800. Its totient is φ = 322817792.

The previous prime is 1215116039. The next prime is 1215116041. The reversal of 1215116040 is 406115121.

It is an interprime number because it is at equal distance from previous prime (1215116039) and next prime (1215116041).

It is a junction number, because it is equal to n+sod(n) for n = 1215115998 and 1215116016.

It is not an unprimeable number, because it can be changed into a prime (1215116041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13459 + ... + 51101.

It is an arithmetic number, because the mean of its divisors is an integer number (57171825).

Almost surely, 21215116040 is an apocalyptic number.

1215116040 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 1215116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829498400).

1215116040 is an abundant number, since it is smaller than the sum of its proper divisors (2443880760).

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

1215116040 is a wasteful number, since it uses less digits than its factorization.

1215116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37926 (or 37922 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1215116040 is about 34858.5145983015. The cubic root of 1215116040 is about 1067.1019607923.

The spelling of 1215116040 in words is "one billion, two hundred fifteen million, one hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 8070 10760 16140 32280 37643 75286 112929 150572 188215 225858 301144 376430 451716 564645 752860 903432 1129290 1505720 2258580 4517160 10125967 20251934 30377901 40503868 50629835 60755802 81007736 101259670 121511604 151889505 202519340 243023208 303779010 405038680 607558020 1215116040