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9921940 = 2257131541
BaseRepresentation
bin100101110110…
…010110010100
3200200002100021
4211312112110
510020000230
6552354524
7150222640
oct45662624
920602307
109921940
115667556
1233a5a44
132095192
141463c20
15d0ec7a
hex976594

9921940 has 48 divisors (see below), whose sum is σ = 24038784. Its totient is φ = 3369600.

The previous prime is 9921917. The next prime is 9921983. The reversal of 9921940 is 491299.

9921940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9921896 and 9921905.

It is a congruent number.

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, 18070 + ... + 18610.

It is an arithmetic number, because the mean of its divisors is an integer number (500808).

Almost surely, 29921940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9921940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019392).

9921940 is an abundant number, since it is smaller than the sum of its proper divisors (14116844).

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

9921940 is a wasteful number, since it uses less digits than its factorization.

9921940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 9921940 is about 3149.9111098569. The cubic root of 9921940 is about 214.8814200988.

The spelling of 9921940 in words is "nine million, nine hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 541 655 917 1082 1310 1834 2164 2620 2705 3668 3787 4585 5410 7574 9170 10820 15148 18340 18935 37870 70871 75740 141742 283484 354355 496097 708710 992194 1417420 1984388 2480485 4960970 9921940