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1016555540 = 2257111350777
BaseRepresentation
bin111100100101110…
…110100000010100
32121211211101001012
4330211312200110
54040214234130
6244512151352
734122402530
oct7445664024
92554741035
101016555540
11481901250
12244538558
131327b5870
149901abc0
155e3a1995
hex3c976814

1016555540 has 96 divisors (see below), whose sum is σ = 2866316544. Its totient is φ = 292469760.

The previous prime is 1016555539. The next prime is 1016555543. The reversal of 1016555540 is 455556101.

It is a junction number, because it is equal to n+sod(n) for n = 1016555497 and 1016555506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016555543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5369 + ... + 45408.

It is an arithmetic number, because the mean of its divisors is an integer number (29857464).

Almost surely, 21016555540 is an apocalyptic number.

1016555540 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 1016555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433158272).

1016555540 is an abundant number, since it is smaller than the sum of its proper divisors (1849761004).

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

1016555540 is a wasteful number, since it uses less digits than its factorization.

1016555540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50817 (or 50815 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The square root of 1016555540 is about 31883.4681300513. The cubic root of 1016555540 is about 1005.4883363907.

The spelling of 1016555540 in words is "one billion, sixteen million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 50777 101554 203108 253885 355439 507770 558547 660101 710878 1015540 1117094 1320202 1421756 1777195 2234188 2640404 2792735 3300505 3554390 3909829 4620707 5585470 6601010 7108780 7261111 7819658 9241414 11170940 13202020 14522222 15639316 18482828 19549145 23103535 29044444 36305555 39098290 46207070 50827777 72611110 78196580 92414140 101655554 145222220 203311108 254138885 508277770 1016555540