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1931940 = 2232510733
BaseRepresentation
bin111010111101010100100
310122011010100
413113222210
5443310230
6105224100
722264323
oct7275244
93564110
101931940
1110aa54a
12792030
1352847a
143840ba
15282660
hex1d7aa4

1931940 has 36 divisors (see below), whose sum is σ = 5860764. Its totient is φ = 515136.

The previous prime is 1931933. The next prime is 1931957. The reversal of 1931940 is 491391.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 1542564 = 624^2 + 1242^2 .

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

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, 5187 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (162799).

21931940 is an apocalyptic number.

1931940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1931940 is an abundant number, since it is smaller than the sum of its proper divisors (3928824).

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

1931940 is a wasteful number, since it uses less digits than its factorization.

1931940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1931940 is about 1389.9424448516. The cubic root of 1931940 is about 124.5464093686.

The spelling of 1931940 in words is "one million, nine hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10733 21466 32199 42932 53665 64398 96597 107330 128796 160995 193194 214660 321990 386388 482985 643980 965970 1931940