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213085740 = 22357507347
BaseRepresentation
bin11001011001101…
…10111000101100
3112211221212200110
430230312320230
5414022220430
633051100020
75165125140
oct1454667054
9484855613
10213085740
11aa31051a
125b441610
13351b954a
142042b220
1513a917b0
hexcb36e2c

213085740 has 48 divisors (see below), whose sum is σ = 681875712. Its totient is φ = 48705216.

The previous prime is 213085739. The next prime is 213085751. The reversal of 213085740 is 47580312.

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 = 213085698 and 213085707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253254 + ... + 254093.

It is an arithmetic number, because the mean of its divisors is an integer number (14205744).

Almost surely, 2213085740 is an apocalyptic number.

213085740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213085740 is an abundant number, since it is smaller than the sum of its proper divisors (468789972).

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

213085740 is a wasteful number, since it uses less digits than its factorization.

213085740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507366 (or 507364 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 213085740 is about 14597.4566277828. The cubic root of 213085740 is about 597.2893838185.

The spelling of 213085740 in words is "two hundred thirteen million, eighty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 507347 1014694 1522041 2029388 2536735 3044082 3551429 5073470 6088164 7102858 7610205 10146940 10654287 14205716 15220410 17757145 21308574 30440820 35514290 42617148 53271435 71028580 106542870 213085740