Search a number
-
+
1052770230 = 233531731723
BaseRepresentation
bin111110101111111…
…111111110110110
32201100222021021000
4332233333332312
54124002121410
6252244304130
735042253651
oct7657777666
92640867230
101052770230
114a0296946
122546a2046
1313a155485
149db66898
1562656dc0
hex3ebfffb6

1052770230 has 128 divisors (see below), whose sum is σ = 2939351040. Its totient is φ = 267805440.

The previous prime is 1052770211. The next prime is 1052770241. The reversal of 1052770230 is 320772501.

It is a super-2 number, since 2×10527702302 = 2216650314348505800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1052770194 and 1052770203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610149 + ... + 611871.

It is an arithmetic number, because the mean of its divisors is an integer number (22963680).

Almost surely, 21052770230 is an apocalyptic number.

1052770230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052770230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469675520).

1052770230 is an abundant number, since it is smaller than the sum of its proper divisors (1886580810).

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

1052770230 is a wasteful number, since it uses less digits than its factorization.

1052770230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1052770230 is about 32446.4209120205. The cubic root of 1052770230 is about 1017.2894295486.

The spelling of 1052770230 in words is "one billion, fifty-two million, seven hundred seventy thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 73 90 93 135 146 155 186 219 270 279 310 365 438 465 558 657 730 837 930 1095 1314 1395 1674 1723 1971 2190 2263 2790 3285 3446 3942 4185 4526 5169 6570 6789 8370 8615 9855 10338 11315 13578 15507 17230 19710 20367 22630 25845 31014 33945 40734 46521 51690 53413 61101 67890 77535 93042 101835 106826 122202 125779 155070 160239 203670 232605 251558 267065 305505 320478 377337 465210 480717 534130 611010 628895 754674 801195 961434 1132011 1257790 1442151 1602390 1886685 2264022 2403585 2884302 3396033 3773370 3899149 4807170 5660055 6792066 7210755 7798298 11320110 11697447 14421510 16980165 19495745 23394894 33960330 35092341 38991490 58487235 70184682 105277023 116974470 175461705 210554046 350923410 526385115 1052770230