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1420173840 = 243534717053
BaseRepresentation
bin101010010100110…
…0010001000010000
310122222022022021010
41110221202020100
510402031030330
6352531130520
750123164341
oct12451421020
93588268233
101420173840
11669718698
12337743a40
131982c3067
14d68840c8
1584a2c3b0
hex54a62210

1420173840 has 80 divisors (see below), whose sum is σ = 4415485248. Its totient is φ = 377599488.

The previous prime is 1420173823. The next prime is 1420173851. The reversal of 1420173840 is 483710241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1420173798 and 1420173807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74754 + ... + 91806.

Almost surely, 21420173840 is an apocalyptic number.

1420173840 is a gapful number since it is divisible by the number (10) 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 1420173840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207742624).

1420173840 is an abundant number, since it is smaller than the sum of its proper divisors (2995311408).

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

1420173840 is a wasteful number, since it uses less digits than its factorization.

1420173840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17416 (or 17410 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1420173840 is about 37685.1939095449. The cubic root of 1420173840 is about 1124.0367300130.

The spelling of 1420173840 in words is "one billion, four hundred twenty million, one hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 10410 13880 16656 17053 20820 27760 34106 41640 51159 68212 83280 85265 102318 136424 170530 204636 255795 272848 341060 409272 511590 682120 818544 1023180 1364240 2046360 4092720 5917391 11834782 17752173 23669564 29586955 35504346 47339128 59173910 71008692 88760865 94678256 118347820 142017384 177521730 236695640 284034768 355043460 473391280 710086920 1420173840