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2190402840 = 233519960703
BaseRepresentation
bin1000001010001110…
…1110010100011000
312122122121222211010
42002203232110120
513441220342330
61001203533520
7105165055053
oct20243562430
95578558733
102190402840
11a2447508a
1251168a2a0
1328ba51272
1416ac9da9a
15cc4733b0
hex828ee518

2190402840 has 64 divisors (see below), whose sum is σ = 6917068800. Its totient is φ = 553364352.

The previous prime is 2190402839. The next prime is 2190402853. The reversal of 2190402840 is 482040912.

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 = 2190402798 and 2190402807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478072 + ... + 482631.

It is an arithmetic number, because the mean of its divisors is an integer number (108079200).

Almost surely, 22190402840 is an apocalyptic number.

2190402840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190402840 is an abundant number, since it is smaller than the sum of its proper divisors (4726665960).

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

2190402840 is a wasteful number, since it uses less digits than its factorization.

2190402840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960736 (or 960732 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2190402840 is about 46801.7397112543. The cubic root of 2190402840 is about 1298.6974804016.

The spelling of 2190402840 in words is "two billion, one hundred ninety million, four hundred two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 960703 1921406 2882109 3842812 4803515 5764218 7685624 9607030 11528436 14410545 18253357 19214060 23056872 28821090 36506714 38428120 54760071 57642180 73013428 91266785 109520142 115284360 146026856 182533570 219040284 273800355 365067140 438080568 547600710 730134280 1095201420 2190402840