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1402272 = 2534541
BaseRepresentation
bin101010110010110100000
32122020120000
411112112200
5324333042
650020000
714630154
oct5262640
92566500
101402272
11878603
12577600
133a1361
14287064
151ca74c
hex1565a0

1402272 has 60 divisors (see below), whose sum is σ = 4131666. Its totient is φ = 466560.

The previous prime is 1402267. The next prime is 1402277. The reversal of 1402272 is 2722041.

It is an interprime number because it is at equal distance from previous prime (1402267) and next prime (1402277).

It can be written as a sum of positive squares in only one way, i.e., 1245456 + 156816 = 1116^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1402277) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2322 + ... + 2862.

21402272 is an apocalyptic number.

1402272 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 1402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065833).

1402272 is an abundant number, since it is smaller than the sum of its proper divisors (2729394).

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

1402272 is an equidigital number, since it uses as much as digits as its factorization.

1402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1402272 is about 1184.1756626447. The cubic root of 1402272 is about 111.9293772462.

The spelling of 1402272 in words is "one million, four hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 541 648 864 1082 1296 1623 2164 2592 3246 4328 4869 6492 8656 9738 12984 14607 17312 19476 25968 29214 38952 43821 51936 58428 77904 87642 116856 155808 175284 233712 350568 467424 701136 1402272