Search a number
-
+
10976940 = 22325134691
BaseRepresentation
bin101001110111…
…111010101100
3202122200112100
4221313322230
510302230230
61031135100
7162205512
oct51677254
922580470
1010976940
116218157
123814490
132374440
14165a4b2
15e6c660
hexa77eac

10976940 has 72 divisors (see below), whose sum is σ = 35865648. Its totient is φ = 2701440.

The previous prime is 10976939. The next prime is 10976941. The reversal of 10976940 is 4967901.

It is an interprime number because it is at equal distance from previous prime (10976939) and next prime (10976941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10976895 and 10976904.

It is not an unprimeable number, because it can be changed into a prime (10976941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (498134).

Almost surely, 210976940 is an apocalyptic number.

10976940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10976940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17932824).

10976940 is an abundant number, since it is smaller than the sum of its proper divisors (24888708).

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

10976940 is a wasteful number, since it uses less digits than its factorization.

10976940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 10976940 is about 3313.1465406770. The cubic root of 10976940 is about 222.2424912993.

The spelling of 10976940 in words is "ten million, nine hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4691 9382 14073 18764 23455 28146 42219 46910 56292 60983 70365 84438 93820 121966 140730 168876 182949 211095 243932 281460 304915 365898 422190 548847 609830 731796 844380 914745 1097694 1219660 1829490 2195388 2744235 3658980 5488470 10976940