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213603780 = 223513535167
BaseRepresentation
bin11001011101101…
…01010111000100
3112212221012022010
430232311113010
5414140310110
633110134220
75202413355
oct1456652704
9485835263
10213603780
11aa634755
125b651370
133533b290
1420523d2c
1513b45020
hexcbb55c4

213603780 has 96 divisors (see below), whose sum is σ = 656377344. Its totient is φ = 51577344.

The previous prime is 213603773. The next prime is 213603781. The reversal of 213603780 is 87306312.

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

It is not an unprimeable number, because it can be changed into a prime (213603781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38757 + ... + 43923.

It is an arithmetic number, because the mean of its divisors is an integer number (6837264).

Almost surely, 2213603780 is an apocalyptic number.

213603780 is a gapful number since it is divisible by the number (20) 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 213603780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328188672).

213603780 is an abundant number, since it is smaller than the sum of its proper divisors (442773564).

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

213603780 is a wasteful number, since it uses less digits than its factorization.

213603780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 213603780 is about 14615.1900432393. The cubic root of 213603780 is about 597.7730222880.

The spelling of 213603780 in words is "two hundred thirteen million, six hundred three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 3180 3445 4134 5167 6890 8268 10334 10335 13780 15501 20668 20670 25835 31002 41340 51670 62004 67171 77505 103340 134342 155010 201513 268684 273851 310020 335855 403026 547702 671710 806052 821553 1007565 1095404 1343420 1369255 1643106 2015130 2738510 3286212 3560063 4030260 4107765 5477020 7120126 8215530 10680189 14240252 16431060 17800315 21360378 35600630 42720756 53400945 71201260 106801890 213603780