Search a number
-
+
2096519436 = 22371121787
BaseRepresentation
bin111110011110110…
…0101100100001100
312102002222020000000
41330331211210030
513243202110221
6544011404300
7102645056364
oct17475454414
95362866000
102096519436
119864810a0
124a6153690
1327546c85b
1415c6219a4
15c40cae26
hex7cf6590c

2096519436 has 96 divisors (see below), whose sum is σ = 6003029760. Its totient is φ = 635279760.

The previous prime is 2096519423. The next prime is 2096519449. The reversal of 2096519436 is 6349156902.

2096519436 is a `hidden beast` number, since 2 + 0 + 96 + 519 + 43 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2096519423) and next prime (2096519449).

It is a junction number, because it is equal to n+sod(n) for n = 2096519391 and 2096519400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85335 + ... + 107121.

It is an arithmetic number, because the mean of its divisors is an integer number (62531560).

Almost surely, 22096519436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2096519436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001514880).

2096519436 is an abundant number, since it is smaller than the sum of its proper divisors (3906510324).

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

2096519436 is a wasteful number, since it uses less digits than its factorization.

2096519436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21803 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2096519436 is about 45787.7651343675. The cubic root of 2096519436 is about 1279.8712915831.

It can be divided in two parts, 20965 and 19436, that added together give a square (40401 = 2012).

The spelling of 2096519436 in words is "two billion, ninety-six million, five hundred nineteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 8019 8748 10692 16038 21787 24057 32076 43574 48114 65361 87148 96228 130722 196083 239657 261444 392166 479314 588249 718971 784332 958628 1176498 1437942 1764747 2156913 2352996 2875884 3529494 4313826 5294241 6470739 7058988 8627652 10588482 12941478 15882723 19412217 21176964 25882956 31765446 38824434 47648169 58236651 63530892 77648868 95296338 116473302 174709953 190592676 232946604 349419906 524129859 698839812 1048259718 2096519436