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133776940 = 225111514027
BaseRepresentation
bin1111111100101…
…00011000101100
3100022201120110111
413332110120230
5233221330230
621135145404
73213041143
oct776243054
9308646414
10133776940
1169571660
1238975264
132193b96b
1413aa475a
15bb2792a
hex7f9462c

133776940 has 48 divisors (see below), whose sum is σ = 308577024. Its totient is φ = 48312000.

The previous prime is 133776917. The next prime is 133776943. The reversal of 133776940 is 49677331.

It is a junction number, because it is equal to n+sod(n) for n = 133776893 and 133776902.

It is not an unprimeable number, because it can be changed into a prime (133776943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31207 + ... + 35233.

It is an arithmetic number, because the mean of its divisors is an integer number (6428688).

Almost surely, 2133776940 is an apocalyptic number.

133776940 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 133776940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154288512).

133776940 is an abundant number, since it is smaller than the sum of its proper divisors (174800084).

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

133776940 is a wasteful number, since it uses less digits than its factorization.

133776940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 133776940 is about 11566.1981653437. The cubic root of 133776940 is about 511.4388943776.

The spelling of 133776940 in words is "one hundred thirty-three million, seven hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 4027 6644 8054 8305 16108 16610 20135 33220 40270 44297 80540 88594 177188 221485 442970 608077 885940 1216154 2432308 3040385 6080770 6688847 12161540 13377694 26755388 33444235 66888470 133776940