Search a number
-
+
1055306100 = 223526157667
BaseRepresentation
bin111110111001101…
…011000101110100
32201112202002211010
4332321223011310
54130124243400
6252414512220
735102645112
oct7671530564
92645662733
101055306100
114a1769102
12255505670
1313a8327a4
14a0226ab2
15629a8450
hex3ee6b174

1055306100 has 72 divisors (see below), whose sum is σ = 3103461088. Its totient is φ = 276796800.

The previous prime is 1055306089. The next prime is 1055306101. The reversal of 1055306100 is 16035501.

It is a happy number.

It is a super-2 number, since 2×10553061002 = 2227341929394420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055306101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10534 + ... + 47133.

Almost surely, 21055306100 is an apocalyptic number.

1055306100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055306100 is an abundant number, since it is smaller than the sum of its proper divisors (2048154988).

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

1055306100 is a wasteful number, since it uses less digits than its factorization.

1055306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57745 (or 57738 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1055306100 is about 32485.4752158561. The cubic root of 1055306100 is about 1018.1055763634.

The spelling of 1055306100 in words is "one billion, fifty-five million, three hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 57667 115334 173001 230668 288335 346002 576670 692004 865005 1153340 1441675 1730010 2883350 3460020 3517687 4325025 5766700 7035374 8650050 10553061 14070748 17300100 17588435 21106122 35176870 42212244 52765305 70353740 87942175 105530610 175884350 211061220 263826525 351768700 527653050 1055306100