Search a number
-
+
2136529980 = 2233513304349
BaseRepresentation
bin111111101011000…
…1101110000111100
312111220020222011000
41333112031300330
513333422424410
6552001130300
7103642130244
oct17726156074
95456228130
102136529980
119a7019662
124b7629990
1328083b130
14163a78b24
15c7880dc0
hex7f58dc3c

2136529980 has 96 divisors (see below), whose sum is σ = 7158312000. Its totient is φ = 525913344.

The previous prime is 2136529943. The next prime is 2136529981. The reversal of 2136529980 is 899256312.

2136529980 is a `hidden beast` number, since 2 + 1 + 36 + 529 + 98 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136529981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145155 + ... + 159194.

It is an arithmetic number, because the mean of its divisors is an integer number (74565750).

Almost surely, 22136529980 is an apocalyptic number.

2136529980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136529980 is an abundant number, since it is smaller than the sum of its proper divisors (5021782020).

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

2136529980 is a wasteful number, since it uses less digits than its factorization.

2136529980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304380 (or 304372 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2136529980 is about 46222.6132969567. The cubic root of 2136529980 is about 1287.9618436737.

The spelling of 2136529980 in words is "two billion, one hundred thirty-six million, five hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 304349 608698 913047 1217396 1521745 1826094 2739141 3043490 3652188 3956537 4565235 5478282 6086980 7913074 8217423 9130470 10956564 11869611 13695705 15826148 16434846 18260940 19782685 23739222 27391410 32869692 35608833 39565370 41087115 47478444 54782820 59348055 71217666 79130740 82174230 106826499 118696110 142435332 164348460 178044165 213652998 237392220 356088330 427305996 534132495 712176660 1068264990 2136529980