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40021520 = 2457117389
BaseRepresentation
bin1001100010101…
…0111000010000
32210022022012112
42120222320100
540221142040
63545444452
7664114550
oct230527020
983268175
1040021520
1120655840
12114a0728
1383a3596
14545b160
1537a8365
hex262ae10

40021520 has 160 divisors (see below), whose sum is σ = 118920960. Its totient is φ = 12165120.

The previous prime is 40021517. The next prime is 40021547. The reversal of 40021520 is 2512004.

It is a super-2 number, since 2×400215202 = 3203444126220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 40021495 and 40021504.

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, 449636 + ... + 449724.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 240021520 is an apocalyptic number.

40021520 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 40021520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59460480).

40021520 is an abundant number, since it is smaller than the sum of its proper divisors (78899440).

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

40021520 is a wasteful number, since it uses less digits than its factorization.

40021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 40021520 is about 6326.2563969539. The cubic root of 40021520 is about 342.0565094772.

Adding to 40021520 its reverse (2512004), we get a palindrome (42533524).

The spelling of 40021520 in words is "forty million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 73 77 80 88 89 110 112 140 146 154 176 178 220 280 292 308 356 365 385 440 445 511 560 584 616 623 712 730 770 803 880 890 979 1022 1168 1232 1246 1424 1460 1540 1606 1780 1958 2044 2492 2555 2920 3080 3115 3212 3560 3916 4015 4088 4895 4984 5110 5621 5840 6160 6230 6424 6497 6853 7120 7832 8030 8176 9790 9968 10220 11242 12460 12848 12994 13706 15664 16060 19580 20440 22484 24920 25988 27412 28105 32120 32485 34265 39160 40880 44968 45479 49840 51976 54824 56210 64240 64970 68530 71467 78320 89936 90958 103952 109648 112420 129940 137060 142934 181916 224840 227395 259880 274120 285868 357335 363832 449680 454790 500269 519760 548240 571736 714670 727664 909580 1000538 1143472 1429340 1819160 2001076 2501345 2858680 3638320 4002152 5002690 5717360 8004304 10005380 20010760 40021520