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733980 = 223513941
BaseRepresentation
bin10110011001100011100
31101021211110
42303030130
5141441410
623422020
76144612
oct2631434
91337743
10733980
114614a5
122b4910
131c9110
141516b2
15e7720
hexb331c

733980 has 48 divisors (see below), whose sum is σ = 2215584. Its totient is φ = 180480.

The previous prime is 733973. The next prime is 733981. The reversal of 733980 is 89337.

733980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (733981) by changing a digit.

733980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (46158).

2733980 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 733980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107792).

733980 is an abundant number, since it is smaller than the sum of its proper divisors (1481604).

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

733980 is a wasteful number, since it uses less digits than its factorization.

733980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 733980 is about 856.7263273648. The cubic root of 733980 is about 90.2044733714.

The spelling of 733980 in words is "seven hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 941 1882 2823 3764 4705 5646 9410 11292 12233 14115 18820 24466 28230 36699 48932 56460 61165 73398 122330 146796 183495 244660 366990 733980