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1000055616 = 26377310193
BaseRepresentation
bin111011100110111…
…010001101000000
32120200210002101220
4323212322031000
54022003234431
6243122355040
733532222020
oct7346721500
92520702356
101000055616
1147356164a
1223aabba80
1312c2595b1
1496b63a80
155cbe2b96
hex3b9ba340

1000055616 has 112 divisors (see below), whose sum is σ = 3065702784. Its totient is φ = 281788416.

The previous prime is 1000055611. The next prime is 1000055657. The reversal of 1000055616 is 6165500001.

1000055616 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 (112).

It is a super-2 number, since 2×10000556162 = 2000222470186278912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000055611) 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, 93016 + ... + 103208.

Almost surely, 21000055616 is an apocalyptic number.

1000055616 is a gapful number since it is divisible by the number (16) 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 1000055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532851392).

1000055616 is an abundant number, since it is smaller than the sum of its proper divisors (2065647168).

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

1000055616 is a wasteful number, since it uses less digits than its factorization.

1000055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1000055616 is about 31623.6559556292. The cubic root of 1000055616 is about 1000.0185383230.

Adding to 1000055616 its reverse (6165500001), we get a palindrome (7165555617).

The spelling of 1000055616 in words is "one billion, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 10193 12264 14016 16352 20386 24528 30579 32704 40772 49056 61158 71351 81544 98112 122316 142702 163088 214053 244632 285404 326176 428106 489264 570808 652352 744089 856212 978528 1141616 1488178 1712424 1957056 2232267 2283232 2976356 3424848 4464534 4566464 5208623 5952712 6849696 8929068 10417246 11905424 13699392 15625869 17858136 20834492 23810848 31251738 35716272 41668984 47621696 62503476 71432544 83337968 125006952 142865088 166675936 250013904 333351872 500027808 1000055616