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2821001940 = 2232515672233
BaseRepresentation
bin1010100000100101…
…0001001011010100
321021121012202011100
42220021101023110
521234134030230
61143531510100
7126623056311
oct25011211324
97247182140
102821001940
111218422569
126688b8330
1335c5a1723
141ca92dd08
151179d7660
hexa82512d4

2821001940 has 36 divisors (see below), whose sum is σ = 8557039764. Its totient is φ = 752267136.

The previous prime is 2821001933. The next prime is 2821001977. The reversal of 2821001940 is 491001282.

It can be written as a sum of positive squares in 2 ways, for example, as 1951695684 + 869306256 = 44178^2 + 29484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7835937 + ... + 7836296.

It is an arithmetic number, because the mean of its divisors is an integer number (237695549).

Almost surely, 22821001940 is an apocalyptic number.

2821001940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2821001940 is an abundant number, since it is smaller than the sum of its proper divisors (5736037824).

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

2821001940 is a wasteful number, since it uses less digits than its factorization.

2821001940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15672248 (or 15672243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2821001940 is about 53113.1051624738. The cubic root of 2821001940 is about 1412.9749470783.

The spelling of 2821001940 in words is "two billion, eight hundred twenty-one million, one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 15672233 31344466 47016699 62688932 78361165 94033398 141050097 156722330 188066796 235083495 282100194 313444660 470166990 564200388 705250485 940333980 1410500970 2821001940