Search a number
-
+
5731575120 = 243353185597
BaseRepresentation
bin1010101011010000…
…01110010101010000
3112210102222011222000
411111220032111100
543214240400440
62344423314000
7262014404355
oct52550162520
915712864860
105731575120
112481363247
12113b5ab900
137045a4b8b
143c52d862c
152382b4730
hex155a0e550

5731575120 has 160 divisors (see below), whose sum is σ = 20379171840. Its totient is φ = 1479098880.

The previous prime is 5731575097. The next prime is 5731575173. The reversal of 5731575120 is 215751375.

It is a happy number.

5731575120 is a `hidden beast` number, since 5 + 73 + 1 + 575 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24162 + ... + 109758.

It is an arithmetic number, because the mean of its divisors is an integer number (127369824).

Almost surely, 25731575120 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 5731575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189585920).

5731575120 is an abundant number, since it is smaller than the sum of its proper divisors (14647596720).

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

5731575120 is a wasteful number, since it uses less digits than its factorization.

5731575120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85650 (or 85638 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5731575120 is about 75707.1668998385. The cubic root of 5731575120 is about 1789.6083451762.

The spelling of 5731575120 in words is "five billion, seven hundred thirty-one million, five hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 85597 171194 256791 342388 427985 513582 684776 770373 855970 1027164 1283955 1369552 1540746 1711940 2054328 2311119 2567910 2653507 3081492 3423880 3851865 4108656 4622238 5135820 5307014 6162984 6847760 7703730 7960521 9244476 10271640 10614028 11555595 12325968 13267535 15407460 15921042 18488952 20543280 21228056 23111190 23881563 26535070 30814920 31842084 36977904 39802605 42456112 46222380 47763126 53070140 61629840 63684168 71644689 79605210 92444760 95526252 106140280 119407815 127368336 143289378 159210420 184889520 191052504 212280560 238815630 286578756 318420840 358223445 382105008 477631260 573157512 636841680 716446890 955262520 1146315024 1432893780 1910525040 2865787560 5731575120