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1077023052 = 2232759107677
BaseRepresentation
bin100000000110010…
…0001000101001100
32210001121102212200
41000030201011030
54201204214202
6254512201500
735455354620
oct10014410514
92701542780
101077023052
11502a513a6
12260839290
13142197561
14a307b180
1564847e1c
hex4032114c

1077023052 has 144 divisors (see below), whose sum is σ = 3198424320. Its totient is φ = 299235456.

The previous prime is 1077023041. The next prime is 1077023081. The reversal of 1077023052 is 2503207701.

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, 1590538 + ... + 1591214.

It is an arithmetic number, because the mean of its divisors is an integer number (22211280).

Almost surely, 21077023052 is an apocalyptic number.

1077023052 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 1077023052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599212160).

1077023052 is an abundant number, since it is smaller than the sum of its proper divisors (2121401268).

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

1077023052 is a wasteful number, since it uses less digits than its factorization.

1077023052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 855 counting only the distinct ones).

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

The square root of 1077023052 is about 32818.0293741108. The cubic root of 1077023052 is about 1025.0420135862.

The spelling of 1077023052 in words is "one billion, seventy-seven million, twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 107 118 126 177 214 236 252 321 354 413 428 531 642 677 708 749 826 963 1062 1239 1284 1354 1498 1652 1926 2031 2124 2247 2478 2708 2996 3717 3852 4062 4494 4739 4956 6093 6313 6741 7434 8124 8988 9478 12186 12626 13482 14217 14868 18939 18956 24372 25252 26964 28434 37878 39943 42651 44191 56817 56868 72439 75756 79886 85302 88382 113634 119829 132573 144878 159772 170604 176764 217317 227268 239658 265146 279601 289756 359487 397719 434634 479316 507073 530292 559202 651951 718974 795438 838803 869268 1014146 1118404 1303902 1437948 1521219 1590876 1677606 2028292 2516409 2607804 3042438 3355212 4273901 4563657 5032818 6084876 8547802 9127314 10065636 12821703 17095604 18254628 25643406 29917307 38465109 51286812 59834614 76930218 89751921 119669228 153860436 179503842 269255763 359007684 538511526 1077023052