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4213040240 = 245194373883
BaseRepresentation
bin1111101100011101…
…1110010001110000
3101212121120121201102
43323013132101300
532112014241430
61534020023532
7206255152103
oct37307362160
911777517642
104213040240
111872173542
12996b31ba8
13521ac3326
142bd76c73a
15199d08345
hexfb1de470

4213040240 has 160 divisors (see below), whose sum is σ = 10707290880. Its totient is φ = 1536288768.

The previous prime is 4213040231. The next prime is 4213040263. The reversal of 4213040240 is 420403124.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4770839 + ... + 4771721.

It is an arithmetic number, because the mean of its divisors is an integer number (66920568).

Almost surely, 24213040240 is an apocalyptic number.

4213040240 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 4213040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353645440).

4213040240 is an abundant number, since it is smaller than the sum of its proper divisors (6494250640).

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

4213040240 is a wasteful number, since it uses less digits than its factorization.

4213040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4213040240 is about 64907.9366487643. The cubic root of 4213040240 is about 1615.0967221863.

Adding to 4213040240 its reverse (420403124), we get a palindrome (4633443364).

The spelling of 4213040240 in words is "four billion, two hundred thirteen million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 73 76 80 86 95 146 152 172 190 215 292 304 344 365 380 430 584 688 730 760 817 860 883 1168 1387 1460 1520 1634 1720 1766 2774 2920 3139 3268 3440 3532 4085 4415 5548 5840 6278 6536 6935 7064 8170 8830 11096 12556 13072 13870 14128 15695 16340 16777 17660 22192 25112 27740 31390 32680 33554 35320 37969 50224 55480 59641 62780 64459 65360 67108 70640 75938 83885 110960 119282 125560 128918 134216 151876 167770 189845 238564 251120 257836 268432 298205 303752 322295 335540 379690 477128 515672 596410 607504 644590 671080 721411 759380 954256 1031344 1192820 1224721 1289180 1342160 1442822 1518760 2385640 2449442 2578360 2771737 2885644 3037520 3607055 4771280 4898884 5156720 5543474 5771288 6123605 7214110 9797768 11086948 11542576 12247210 13858685 14428220 19595536 22173896 24494420 27717370 28856440 44347792 48988840 52663003 55434740 57712880 97977680 105326006 110869480 210652012 221738960 263315015 421304024 526630030 842608048 1053260060 2106520120 4213040240