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5420354940 = 223257111367449
BaseRepresentation
bin1010000110001010…
…00000110101111100
3111222202100120010200
411003011000311330
542100102324230
62253505003500
7251215154040
oct50305006574
914882316120
105420354940
112331715990
121073323590
13684c79020
14395c44020
1521acdb160
hex143140d7c

5420354940 has 576 divisors, whose sum is σ = 22455014400. Its totient is φ = 1021870080.

The previous prime is 5420354921. The next prime is 5420354969. The reversal of 5420354940 is 494530245.

It is a happy number.

5420354940 is a `hidden beast` number, since 54 + 20 + 3 + 549 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5420354895 and 5420354904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12071836 + ... + 12072284.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 25420354940 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 5420354940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227507200).

5420354940 is an abundant number, since it is smaller than the sum of its proper divisors (17034659460).

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

5420354940 is a wasteful number, since it uses less digits than its factorization.

5420354940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5420354940 is about 73623.0598386131. The cubic root of 5420354940 is about 1756.6122569474.

The spelling of 5420354940 in words is "five billion, four hundred twenty million, three hundred fifty-four thousand, nine hundred forty".