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1049706540 = 22355435023
BaseRepresentation
bin111110100100010…
…100000000101100
32201011012121200000
4332210110000230
54122211102130
6252054504300
735004233631
oct7644240054
92634177600
101049706540
11499594073
12253665090
13139621b3c
149d5aa188
156224e260
hex3e91402c

1049706540 has 144 divisors (see below), whose sum is σ = 3379504128. Its totient is φ = 273357504.

The previous prime is 1049706523. The next prime is 1049706551. The reversal of 1049706540 is 456079401.

1049706540 is a `hidden beast` number, since 1 + 0 + 49 + 70 + 6 + 540 = 666.

It is a super-2 number, since 2×10497065402 = 2203767640237543200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1049706495 and 1049706504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206469 + ... + 211491.

Almost surely, 21049706540 is an apocalyptic number.

1049706540 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 1049706540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689752064).

1049706540 is an abundant number, since it is smaller than the sum of its proper divisors (2329797588).

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

1049706540 is a wasteful number, since it uses less digits than its factorization.

1049706540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1049706540 is about 32399.1749894963. The cubic root of 1049706540 is about 1016.3016585714.

The spelling of 1049706540 in words is "one billion, forty-nine million, seven hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1215 1290 1548 1620 1935 2322 2430 2580 3483 3870 4644 4860 5023 5805 6966 7740 10046 10449 11610 13932 15069 17415 20092 20898 23220 25115 30138 34830 41796 45207 50230 52245 60276 69660 75345 90414 100460 104490 135621 150690 180828 208980 215989 226035 271242 301380 406863 431978 452070 542484 647967 678105 813726 863956 904140 1079945 1220589 1295934 1356210 1627452 1943901 2034315 2159890 2441178 2591868 2712420 3239835 3887802 4068630 4319780 4882356 5831703 6102945 6479670 7775604 8137260 9719505 11663406 12205890 12959340 17495109 19439010 23326812 24411780 29158515 34990218 38878020 52485327 58317030 69980436 87475545 104970654 116634060 174951090 209941308 262426635 349902180 524853270 1049706540