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1290072 = 233721097
BaseRepresentation
bin100111010111101011000
32102112122110
410322331120
5312240242
643352320
713652100
oct4727530
92375573
101290072
11801283
125226a0
13362274
14258200
151a739c
hex13af58

1290072 has 48 divisors (see below), whose sum is σ = 3755160. Its totient is φ = 368256.

The previous prime is 1290049. The next prime is 1290077. The reversal of 1290072 is 2700921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628 + ... + 1724.

21290072 is an apocalyptic number.

1290072 is a gapful number since it is divisible by the number (12) 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 1290072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877580).

1290072 is an abundant number, since it is smaller than the sum of its proper divisors (2465088).

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

1290072 is a wasteful number, since it uses less digits than its factorization.

1290072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1290072 is about 1135.8133649504. The cubic root of 1290072 is about 108.8607485862.

Adding to 1290072 its reverse (2700921), we get a palindrome (3990993).

The spelling of 1290072 in words is "one million, two hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1097 1176 2194 3291 4388 6582 7679 8776 13164 15358 23037 26328 30716 46074 53753 61432 92148 107506 161259 184296 215012 322518 430024 645036 1290072