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1002921940 = 225257195121
BaseRepresentation
bin111011110001110…
…101111111010100
32120220011201021001
4323301311333110
54023222000230
6243304033044
733565460446
oct7361657724
92526151231
101002921940
1147513a109
1223ba62784
1312ca21147
14972ac496
155d0ac0ca
hex3bc75fd4

1002921940 has 24 divisors (see below), whose sum is σ = 2114341992. Its totient is φ = 399605760.

The previous prime is 1002921937. The next prime is 1002921947. The reversal of 1002921940 is 491292001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 669567376 + 333354564 = 25876^2 + 18258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002921899 and 1002921908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002921947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92421 + ... + 102700.

It is an arithmetic number, because the mean of its divisors is an integer number (88097583).

Almost surely, 21002921940 is an apocalyptic number.

1002921940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002921940 is an abundant number, since it is smaller than the sum of its proper divisors (1111420052).

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

1002921940 is a wasteful number, since it uses less digits than its factorization.

1002921940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195387 (or 195385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1002921940 is about 31668.9428304767. The cubic root of 1002921940 is about 1000.9730328999.

The spelling of 1002921940 in words is "one billion, two million, nine hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 195121 390242 780484 975605 1951210 3902420 50146097 100292194 200584388 250730485 501460970 1002921940