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1421235072 = 27375077
BaseRepresentation
bin101010010110110…
…0101001110000000
310200001022020000000
41110231211032000
510402314010242
6353010000000
750135204325
oct12455451600
93601266000
101421235072
1166a282a44
12337b76000
131985a50ca
14d6a7cb4c
1584b8ba4c
hex54b65380

1421235072 has 128 divisors (see below), whose sum is σ = 4247239200. Its totient is φ = 473651712.

The previous prime is 1421235059. The next prime is 1421235089. The reversal of 1421235072 is 2705321241.

1421235072 is a `hidden beast` number, since 1 + 421 + 235 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277398 + ... + 282474.

Almost surely, 21421235072 is an apocalyptic number.

1421235072 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 1421235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123619600).

1421235072 is an abundant number, since it is smaller than the sum of its proper divisors (2826004128).

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

1421235072 is an frugal number, since it uses more digits than its factorization.

1421235072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1421235072 is about 37699.2715048978. The cubic root of 1421235072 is about 1124.3166409911.

It can be divided in two parts, 14212 and 35072, that added together give a square (49284 = 2222).

The spelling of 1421235072 in words is "one billion, four hundred twenty-one million, two hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2187 2592 2916 3456 3888 4374 5077 5184 5832 7776 8748 10154 10368 11664 15231 15552 17496 20308 23328 30462 31104 34992 40616 45693 46656 60924 69984 81232 91386 93312 121848 137079 139968 162464 182772 243696 274158 279936 324928 365544 411237 487392 548316 649856 731088 822474 974784 1096632 1233711 1462176 1644948 1949568 2193264 2467422 2924352 3289896 3701133 4386528 4934844 5848704 6579792 7402266 8773056 9869688 11103399 13159584 14804532 17546112 19739376 22206798 26319168 29609064 39478752 44413596 52638336 59218128 78957504 88827192 118436256 157915008 177654384 236872512 355308768 473745024 710617536 1421235072