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1126623540 = 2235725110687
BaseRepresentation
bin100001100100110…
…1110100100110100
32220111221101221210
41003021232210310
54301403423130
6303443241420
736630066510
oct10311564464
92814841853
101126623540
11528a49a39
12275379270
1314c542b63
14a98ad140
1568d945b0
hex4326e934

1126623540 has 96 divisors (see below), whose sum is σ = 3619897344. Its totient is φ = 256464000.

The previous prime is 1126623539. The next prime is 1126623569. The reversal of 1126623540 is 453266211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126623498 and 1126623507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100077 + ... + 110763.

It is an arithmetic number, because the mean of its divisors is an integer number (37707264).

Almost surely, 21126623540 is an apocalyptic number.

1126623540 is a gapful number since it is divisible by the number (10) 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 1126623540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809948672).

1126623540 is an abundant number, since it is smaller than the sum of its proper divisors (2493273804).

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

1126623540 is a wasteful number, since it uses less digits than its factorization.

1126623540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1126623540 is about 33565.2132422840. The cubic root of 1126623540 is about 1040.5419820506.

Adding to 1126623540 its reverse (453266211), we get a palindrome (1579889751).

The spelling of 1126623540 in words is "one billion, one hundred twenty-six million, six hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 10542 10687 15060 17570 21084 21374 26355 32061 35140 42748 52710 53435 64122 74809 105420 106870 128244 149618 160305 213740 224427 299236 320610 374045 448854 641220 748090 897708 1122135 1496180 2244270 2682437 4488540 5364874 8047311 10729748 13412185 16094622 18777059 26824370 32189244 37554118 40236555 53648740 56331177 75108236 80473110 93885295 112662354 160946220 187770590 225324708 281655885 375541180 563311770 1126623540