Search a number
-
+
537079680 = 2733531081
BaseRepresentation
bin100000000000110…
…010111110000000
31101102121110211000
4200000302332000
52044443022210
6125143252000
716211046654
oct4000627600
91342543730
10537079680
11256192a05
1212ba4a000
1387368637
1451488a64
153223eac0
hex20032f80

537079680 has 128 divisors (see below), whose sum is σ = 1902218400. Its totient is φ = 143216640.

The previous prime is 537079651. The next prime is 537079703. The reversal of 537079680 is 86970735.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1740 + ... + 32820.

Almost surely, 2537079680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951109200).

537079680 is an abundant number, since it is smaller than the sum of its proper divisors (1365138720).

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

537079680 is a wasteful number, since it uses less digits than its factorization.

537079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31109 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 537079680 is about 23174.9796116415. The cubic root of 537079680 is about 812.8546737149.

The spelling of 537079680 in words is "five hundred thirty-seven million, seventy-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 31081 62162 93243 124324 155405 186486 248648 279729 310810 372972 466215 497296 559458 621620 745944 839187 932430 994592 1118916 1243240 1398645 1491888 1678374 1864860 1989184 2237832 2486480 2797290 2983776 3356748 3729720 3978368 4195935 4475664 4972960 5594580 5967552 6713496 7459440 8391870 8951328 9945920 11189160 11935104 13426992 14918880 16783740 17902656 19891840 22378320 26853984 29837760 33567480 35805312 44756640 53707968 59675520 67134960 89513280 107415936 134269920 179026560 268539840 537079680