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1430020240 = 245112815783
BaseRepresentation
bin101010100111100…
…0110000010010000
310200122211112222121
41111033012002100
510412041121430
6353522144024
750302654135
oct12517060220
93618745877
101430020240
11674233410
1233aab2014
1319a35ca2c
14d7cc858c
1585824a7a
hex553c6090

1430020240 has 80 divisors (see below), whose sum is σ = 3640588416. Its totient is φ = 518067200.

The previous prime is 1430020231. The next prime is 1430020259. The reversal of 1430020240 is 420200341.

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 (16).

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, 244389 + ... + 250171.

Almost surely, 21430020240 is an apocalyptic number.

1430020240 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 1430020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820294208).

1430020240 is an abundant number, since it is smaller than the sum of its proper divisors (2210568176).

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

1430020240 is a wasteful number, since it uses less digits than its factorization.

1430020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1430020240 is about 37815.6084176891. The cubic root of 1430020240 is about 1126.6284866598.

Adding to 1430020240 its reverse (420200341), we get a palindrome (1850220581).

The spelling of 1430020240 in words is "one billion, four hundred thirty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 281 440 562 880 1124 1405 2248 2810 3091 4496 5620 5783 6182 11240 11566 12364 15455 22480 23132 24728 28915 30910 46264 49456 57830 61820 63613 92528 115660 123640 127226 231320 247280 254452 318065 462640 508904 636130 1017808 1272260 1625023 2544520 3250046 5089040 6500092 8125115 13000184 16250230 17875253 26000368 32500460 35750506 65000920 71501012 89376265 130001840 143002024 178752530 286004048 357505060 715010120 1430020240