Search a number
-
+
1076214330 = 233541191509
BaseRepresentation
bin100000000100101…
…1011101000111010
32210000002100112000
41000021123220322
54201002324310
6254443001430
735445446052
oct10011335072
92700070460
101076214330
11502549834
12260509276
13141c73419
14a2d0a562
15647384c0
hex4025ba3a

1076214330 has 128 divisors (see below), whose sum is σ = 2961100800. Its totient is φ = 277977600.

The previous prime is 1076214281. The next prime is 1076214361. The reversal of 1076214330 is 334126701.

1076214330 is a `hidden beast` number, since 1 + 0 + 7 + 621 + 4 + 3 + 30 = 666.

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 = 1076214294 and 1076214303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2114116 + ... + 2114624.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 21076214330 is an apocalyptic number.

1076214330 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 1076214330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

1076214330 is an abundant number, since it is smaller than the sum of its proper divisors (1884886470).

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

1076214330 is a wasteful number, since it uses less digits than its factorization.

1076214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1076214330 is about 32805.7057537252. The cubic root of 1076214330 is about 1024.7853859617.

The spelling of 1076214330 in words is "one billion, seventy-six million, two hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 191 205 246 270 369 382 410 509 573 615 738 955 1018 1107 1146 1230 1527 1719 1845 1910 2214 2545 2865 3054 3438 3690 4581 5090 5157 5535 5730 7635 7831 8595 9162 10314 11070 13743 15270 15662 17190 20869 22905 23493 25785 27486 39155 41738 45810 46986 51570 62607 68715 70479 78310 97219 104345 117465 125214 137430 140958 187821 194438 208690 211437 234930 291657 313035 352395 375642 422874 486095 563463 583314 626070 704790 874971 939105 972190 1057185 1126926 1458285 1749942 1878210 2114370 2624913 2817315 2916570 3985979 4374855 5249826 5634630 7971958 8749710 11957937 13124565 19929895 23915874 26249130 35873811 39859790 59789685 71747622 107621433 119579370 179369055 215242866 358738110 538107165 1076214330