Search a number
-
+
4102442520 = 2335114372277
BaseRepresentation
bin1111010010000110…
…0100111000011000
3101120220110200011120
43310201210320120
531400211130040
61515025325240
7203443120551
oct36441447030
911526420146
104102442520
1118157a3870
12965a96820
13504c0bba7
142acbbd328
1519025d7d0
hexf4864e18

4102442520 has 128 divisors (see below), whose sum is σ = 13738602240. Its totient is φ = 971389440.

The previous prime is 4102442501. The next prime is 4102442549. The reversal of 4102442520 is 252442014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20622 + ... + 92898.

It is an arithmetic number, because the mean of its divisors is an integer number (107332830).

Almost surely, 24102442520 is an apocalyptic number.

4102442520 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 4102442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869301120).

4102442520 is an abundant number, since it is smaller than the sum of its proper divisors (9636159720).

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

4102442520 is a wasteful number, since it uses less digits than its factorization.

4102442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72345 (or 72341 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4102442520 is about 64050.3124114161. The cubic root of 4102442520 is about 1600.8384303615.

Adding to 4102442520 its reverse (252442014), we get a palindrome (4354884534).

The spelling of 4102442520 in words is "four billion, one hundred two million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 72277 144554 216831 289108 361385 433662 578216 722770 795047 867324 1084155 1445540 1590094 1734648 2168310 2385141 2891080 3107911 3180188 3975235 4336620 4770282 6215822 6360376 7950470 8673240 9323733 9540564 11925705 12431644 15539555 15900940 18647466 19081128 23851410 24863288 31079110 31801880 34187021 37294932 46618665 47702820 62158220 68374042 74589864 93237330 95405640 102561063 124316440 136748084 170935105 186474660 205122126 273496168 341870210 372949320 410244252 512805315 683740420 820488504 1025610630 1367480840 2051221260 4102442520