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1430195900 = 2252729471499
BaseRepresentation
bin101010100111111…
…0000111010111100
310200200011110221112
41111033300322330
510412112232100
6353530021152
750304315230
oct12517607274
93620143845
101430195900
11674343391
1233ab777b8
1319a3c1983
14d7d325c0
158585bb35
hex553f0ebc

1430195900 has 144 divisors (see below), whose sum is σ = 3749760000. Its totient is φ = 463061760.

The previous prime is 1430195887. The next prime is 1430195909. The reversal of 1430195900 is 95910341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430195909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953351 + ... + 954849.

It is an arithmetic number, because the mean of its divisors is an integer number (26040000).

Almost surely, 21430195900 is an apocalyptic number.

1430195900 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 1430195900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880000).

1430195900 is an abundant number, since it is smaller than the sum of its proper divisors (2319564100).

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

1430195900 is a wasteful number, since it uses less digits than its factorization.

1430195900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 1430195900 is about 37817.9309322972. The cubic root of 1430195900 is about 1126.6746154841.

The spelling of 1430195900 in words is "one billion, four hundred thirty million, one hundred ninety-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 47 50 58 70 94 100 116 140 145 175 188 203 235 290 329 350 406 470 580 658 700 725 812 940 1015 1175 1316 1363 1450 1499 1645 2030 2350 2726 2900 2998 3290 4060 4700 5075 5452 5996 6580 6815 7495 8225 9541 10150 10493 13630 14990 16450 19082 20300 20986 27260 29980 32900 34075 37475 38164 41972 43471 47705 52465 68150 70453 74950 86942 95410 104930 136300 140906 149900 173884 190820 209860 217355 238525 262325 281812 304297 352265 434710 477050 493171 524650 608594 704530 869420 954100 986342 1049300 1086775 1217188 1409060 1521485 1761325 1972684 2043137 2173550 2465855 3042970 3522650 4086274 4347100 4931710 6085940 7045300 7607425 8172548 9863420 10215685 12329275 14301959 15214850 20431370 24658550 28603918 30429700 40862740 49317100 51078425 57207836 71509795 102156850 143019590 204313700 286039180 357548975 715097950 1430195900