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21402530532 = 2234717911777
BaseRepresentation
bin10011111011101100…
…001011001011100100
32001020120122012110000
4103323230023023210
5322313021434112
613455430301300
71355242336125
oct237354131344
961216565400
1021402530532
119093196a69
1241937b7830
132031131166
14107069604c
15853e607dc
hex4fbb0b2e4

21402530532 has 120 divisors (see below), whose sum is σ = 57461564160. Its totient is φ = 6944071680.

The previous prime is 21402530531. The next prime is 21402530533. The reversal of 21402530532 is 23503520412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21402530531) and next prime (21402530533).

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

It is a junction number, because it is equal to n+sod(n) for n = 21402530496 and 21402530505.

It is not an unprimeable number, because it can be changed into a prime (21402530531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1811428 + ... + 1823204.

It is an arithmetic number, because the mean of its divisors is an integer number (478846368).

Almost surely, 221402530532 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 21402530532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28730782080).

21402530532 is an abundant number, since it is smaller than the sum of its proper divisors (36059033628).

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

21402530532 is a wasteful number, since it uses less digits than its factorization.

21402530532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 21402530532 in words is "twenty-one billion, four hundred two million, five hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 79 81 108 142 158 162 213 237 284 316 324 426 474 639 711 852 948 1278 1422 1917 2133 2556 2844 3834 4266 5609 5751 6399 7668 8532 11218 11502 11777 12798 16827 22436 23004 23554 25596 33654 35331 47108 50481 67308 70662 100962 105993 141324 151443 201924 211986 302886 317979 423972 454329 605772 635958 836167 908658 930383 953937 1271916 1672334 1817316 1860766 1907874 2508501 2791149 3344668 3721532 3815748 5017002 5582298 7525503 8373447 10034004 11164596 15051006 16746894 22576509 25120341 30102012 33493788 45153018 50240682 66057193 67729527 75361023 90306036 100481364 132114386 135459054 150722046 198171579 264228772 270918108 301444092 396343158 594514737 792686316 1189029474 1783544211 2378058948 3567088422 5350632633 7134176844 10701265266 21402530532