Search a number
-
+
1055018832 = 243723136519
BaseRepresentation
bin111110111000100…
…100111101010000
32201112012111202120
4332320210331100
54130041100312
6252404414240
735100340440
oct7670447520
92645174676
101055018832
114a159229a
122553a7380
1313a761aca
14a0190120
156294d28c
hex3ee24f50

1055018832 has 80 divisors (see below), whose sum is σ = 3250268160. Its totient is φ = 288326016.

The previous prime is 1055018821. The next prime is 1055018837. The reversal of 1055018832 is 2388105501.

It is a happy number.

It is a super-2 number, since 2×10550188322 = 2226129471749288448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055018793 and 1055018802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055018837) 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, 60532 + ... + 75987.

It is an arithmetic number, because the mean of its divisors is an integer number (40628352).

Almost surely, 21055018832 is an apocalyptic number.

1055018832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055018832 is an abundant number, since it is smaller than the sum of its proper divisors (2195249328).

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

1055018832 is a wasteful number, since it uses less digits than its factorization.

1055018832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136560 (or 136554 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1055018832 is about 32481.0534311928. The cubic root of 1055018832 is about 1018.0131874680.

The spelling of 1055018832 in words is "one billion, fifty-five million, eighteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 136519 273038 409557 546076 819114 955633 1092152 1638228 1911266 2184304 2866899 3139937 3276456 3822532 5733798 6279874 6552912 7645064 9419811 11467596 12559748 15290128 18839622 21979559 22935192 25119496 37679244 43959118 45870384 50238992 65938677 75358488 87918236 131877354 150716976 175836472 263754708 351672944 527509416 1055018832