Search a number
-
+
36821430 = 23251961353
BaseRepresentation
bin1000110001110…
…1100110110110
32120021201111200
42030131212312
533411241210
63353113330
7624656052
oct214354666
976251450
1036821430
111986a538
12103b8846
137822b39
144c66c62
1533750c0
hex231d9b6

36821430 has 96 divisors (see below), whose sum is σ = 102716640. Its totient is φ = 9123840.

The previous prime is 36821429. The next prime is 36821431. The reversal of 36821430 is 3412863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36821429) and next prime (36821431).

It is a junction number, because it is equal to n+sod(n) for n = 36821394 and 36821403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36821431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104134 + ... + 104486.

It is an arithmetic number, because the mean of its divisors is an integer number (1069965).

Almost surely, 236821430 is an apocalyptic number.

36821430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36821430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51358320).

36821430 is an abundant number, since it is smaller than the sum of its proper divisors (65895210).

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

36821430 is a wasteful number, since it uses less digits than its factorization.

36821430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36821430 is about 6068.0664136115. The cubic root of 36821430 is about 332.6852530145.

The spelling of 36821430 in words is "thirty-six million, eight hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 61 90 95 114 122 171 183 190 285 305 342 353 366 549 570 610 706 855 915 1059 1098 1159 1710 1765 1830 2118 2318 2745 3177 3477 3530 5295 5490 5795 6354 6707 6954 10431 10590 11590 13414 15885 17385 20121 20862 21533 31770 33535 34770 40242 43066 52155 60363 64599 67070 100605 104310 107665 120726 129198 193797 201210 215330 301815 322995 387594 409127 603630 645990 818254 968985 1227381 1937970 2045635 2454762 3682143 4091270 6136905 7364286 12273810 18410715 36821430