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5457000 = 2335317107
BaseRepresentation
bin10100110100010001101000
3101021020121010
4110310101220
52344111000
6312543520
764245423
oct24642150
911236533
105457000
113097a1a
1219b1ba0
131190ac3
14a209ba
1572bd50
hex534468

5457000 has 128 divisors (see below), whose sum is σ = 18195840. Its totient is φ = 1356800.

The previous prime is 5456993. The next prime is 5457007. The reversal of 5457000 is 7545.

It is an interprime number because it is at equal distance from previous prime (5456993) and next prime (5457007).

It is not an unprimeable number, because it can be changed into a prime (5457007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50947 + ... + 51053.

It is an arithmetic number, because the mean of its divisors is an integer number (142155).

Almost surely, 25457000 is an apocalyptic number.

5457000 is a gapful number since it is divisible by the number (50) 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 5457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097920).

5457000 is an abundant number, since it is smaller than the sum of its proper divisors (12738840).

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

5457000 is a wasteful number, since it uses less digits than its factorization.

5457000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5457000 is about 2336.0222601679. The cubic root of 5457000 is about 176.0561976187.

The spelling of 5457000 in words is "five million, four hundred fifty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 107 120 125 136 150 170 200 204 214 250 255 300 321 340 375 408 425 428 500 510 535 600 642 680 750 850 856 1000 1020 1070 1275 1284 1500 1605 1700 1819 2040 2125 2140 2550 2568 2675 3000 3210 3400 3638 4250 4280 5100 5350 5457 6375 6420 7276 8025 8500 9095 10200 10700 10914 12750 12840 13375 14552 16050 17000 18190 21400 21828 25500 26750 27285 32100 36380 40125 43656 45475 51000 53500 54570 64200 72760 80250 90950 107000 109140 136425 160500 181900 218280 227375 272850 321000 363800 454750 545700 682125 909500 1091400 1364250 1819000 2728500 5457000