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4997760 = 273519137
BaseRepresentation
bin10011000100001010000000
3100101220122020
4103010022000
52234412020
6255041440
760323505
oct23041200
910356566
104997760
112903989
121810280
13105ca71
149414ac
1568ac40
hex4c4280

4997760 has 128 divisors (see below), whose sum is σ = 16891200. Its totient is φ = 1253376.

The previous prime is 4997753. The next prime is 4997771. The reversal of 4997760 is 677994.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 36412 + ... + 36548.

Almost surely, 24997760 is an apocalyptic number.

4997760 is a gapful number since it is divisible by the number (40) 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 4997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445600).

4997760 is an abundant number, since it is smaller than the sum of its proper divisors (11893440).

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

4997760 is a wasteful number, since it uses less digits than its factorization.

4997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 4997760 is about 2235.5670421618. The cubic root of 4997760 is about 170.9720552126.

The spelling of 4997760 in words is "four million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 137 152 160 190 192 228 240 274 285 304 320 380 384 411 456 480 548 570 608 640 685 760 822 912 960 1096 1140 1216 1370 1520 1644 1824 1920 2055 2192 2280 2432 2603 2740 3040 3288 3648 4110 4384 4560 5206 5480 6080 6576 7296 7809 8220 8768 9120 10412 10960 12160 13015 13152 15618 16440 17536 18240 20824 21920 26030 26304 31236 32880 36480 39045 41648 43840 52060 52608 62472 65760 78090 83296 87680 104120 124944 131520 156180 166592 208240 249888 263040 312360 333184 416480 499776 624720 832960 999552 1249440 1665920 2498880 4997760