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1420854000 = 24353317639
BaseRepresentation
bin101010010110000…
…1000001011110000
310200000120212021020
41110230020023300
510402214312000
6352553455440
750132026326
oct12454101360
93600525236
101420854000
1166a042705
12337a11580
131984a0817
14d69bdd16
1584b13ba0
hex54b082f0

1420854000 has 160 divisors (see below), whose sum is σ = 4729221120. Its totient is φ = 366624000.

The previous prime is 1420853971. The next prime is 1420854037. The reversal of 1420854000 is 4580241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182181 + ... + 189819.

It is an arithmetic number, because the mean of its divisors is an integer number (29557632).

Almost surely, 21420854000 is an apocalyptic number.

1420854000 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 1420854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364610560).

1420854000 is an abundant number, since it is smaller than the sum of its proper divisors (3308367120).

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

1420854000 is a wasteful number, since it uses less digits than its factorization.

1420854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1420854000 is about 37694.2170630987. The cubic root of 1420854000 is about 1124.2161453265.

The spelling of 1420854000 in words is "one billion, four hundred twenty million, eight hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 6000 6200 7440 7639 7750 9300 11625 12400 15278 15500 18600 22917 23250 30556 31000 37200 38195 45834 46500 61112 62000 76390 91668 93000 114585 122224 152780 183336 186000 190975 229170 236809 305560 366672 381950 458340 473618 572925 611120 710427 763900 916680 947236 954875 1145850 1184045 1420854 1527800 1833360 1894472 1909750 2291700 2368090 2841708 2864625 3055600 3552135 3788944 3819500 4583400 4736180 5683416 5729250 5920225 7104270 7639000 9166800 9472360 11366832 11458500 11840450 14208540 15278000 17760675 18944720 22917000 23680900 28417080 29601125 35521350 45834000 47361800 56834160 59202250 71042700 88803375 94723600 118404500 142085400 177606750 236809000 284170800 355213500 473618000 710427000 1420854000