Search a number
-
+
1052194080 = 25357313153
BaseRepresentation
bin111110101101110…
…011010100100000
32201022212222221010
4332231303110200
54123330202310
6252224100520
735034334140
oct7655632440
92638788833
101052194080
1149aa32a93
12254464740
13139cb3162
149da56920
1562591320
hex3eb73520

1052194080 has 96 divisors (see below), whose sum is σ = 3787910784. Its totient is φ = 240500736.

The previous prime is 1052194019. The next prime is 1052194081. The reversal of 1052194080 is 804912501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10521940802 = 2214224763974092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1052194081) 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, 153217 + ... + 159936.

It is an arithmetic number, because the mean of its divisors is an integer number (39457404).

Almost surely, 21052194080 is an apocalyptic number.

1052194080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052194080 is an abundant number, since it is smaller than the sum of its proper divisors (2735716704).

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

1052194080 is a wasteful number, since it uses less digits than its factorization.

1052194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313178 (or 313170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1052194080 is about 32437.5412138467. The cubic root of 1052194080 is about 1017.1038182154.

The spelling of 1052194080 in words is "one billion, fifty-two million, one hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 313153 626306 939459 1252612 1565765 1878918 2192071 2505224 3131530 3757836 4384142 4697295 5010448 6263060 6576213 7515672 8768284 9394590 10020896 10960355 12526120 13152426 15031344 17536568 18789180 21920710 25052240 26304852 30062688 32881065 35073136 37578360 43841420 50104480 52609704 65762130 70146272 75156720 87682840 105219408 131524260 150313440 175365680 210438816 263048520 350731360 526097040 1052194080