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1430299680 = 253519115601
BaseRepresentation
bin101010101000000…
…1010010000100000
310200200100202022020
41111100022100200
510412124042210
6353532141440
750305226625
oct12520122040
93620322266
101430299680
11674404357
1233b007880
1319a429c94
14d7d5c34c
158587c770
hex5540a420

1430299680 has 96 divisors (see below), whose sum is σ = 4529323008. Its totient is φ = 379392000.

The previous prime is 1430299649. The next prime is 1430299681. The reversal of 1430299680 is 869920341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1430299681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83880 + ... + 99480.

It is an arithmetic number, because the mean of its divisors is an integer number (47180448).

Almost surely, 21430299680 is an apocalyptic number.

1430299680 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 1430299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264661504).

1430299680 is an abundant number, since it is smaller than the sum of its proper divisors (3099023328).

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

1430299680 is a wasteful number, since it uses less digits than its factorization.

1430299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15802 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1430299680 is about 37819.3030078557. The cubic root of 1430299680 is about 1126.7018666375.

The spelling of 1430299680 in words is "one billion, four hundred thirty million, two hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 15280 15601 18336 22920 30560 31202 45840 46803 62404 78005 91680 93606 124808 156010 187212 234015 249616 312020 374424 468030 499232 624040 748848 936060 1248080 1497696 1872120 2496160 2979791 3744240 5959582 7488480 8939373 11919164 14898955 17878746 23838328 29797910 35757492 44696865 47676656 59595820 71514984 89393730 95353312 119191640 143029968 178787460 238383280 286059936 357574920 476766560 715149840 1430299680