Search a number
-
+
1080330372 = 223511791279
BaseRepresentation
bin100000001100100…
…1000100010000100
32210021211110200000
41000121020202010
54203031032442
6255111121300
735525441142
oct10031104204
92707743600
101080330372
11504900220
12261973230
13142a84a54
14a369c592
1564c9cd4c
hex40648884

1080330372 has 144 divisors (see below), whose sum is σ = 3130982400. Its totient is φ = 322976160.

The previous prime is 1080330353. The next prime is 1080330397. The reversal of 1080330372 is 2730330801.

It is a super-2 number, since 2×10803303722 = 2334227425331316768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844029 + ... + 845307.

Almost surely, 21080330372 is an apocalyptic number.

1080330372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080330372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565491200).

1080330372 is an abundant number, since it is smaller than the sum of its proper divisors (2050652028).

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

1080330372 is a wasteful number, since it uses less digits than its factorization.

1080330372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1374 counting only the distinct ones).

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

The square root of 1080330372 is about 32868.3795158812. The cubic root of 1080330372 is about 1026.0901736689.

The spelling of 1080330372 in words is "one billion, eighty million, three hundred thirty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 132 158 162 198 237 243 297 316 324 396 474 486 594 711 869 891 948 972 1188 1279 1422 1738 1782 2133 2558 2607 2673 2844 3476 3564 3837 4266 5116 5214 5346 6399 7674 7821 8532 10428 10692 11511 12798 14069 15348 15642 19197 23022 23463 25596 28138 31284 34533 38394 42207 46044 46926 56276 69066 70389 76788 84414 93852 101041 103599 126621 138132 140778 168828 202082 207198 211167 253242 281556 303123 310797 379863 404164 414396 422334 506484 606246 621594 759726 844668 909369 1111451 1139589 1212492 1243188 1519452 1818738 2222902 2279178 2728107 3334353 3418767 3637476 4445804 4558356 5456214 6668706 6837534 8184321 10003059 10912428 13337412 13675068 16368642 20006118 24552963 30009177 32737284 40012236 49105926 60018354 90027531 98211852 120036708 180055062 270082593 360110124 540165186 1080330372