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40721340 = 22351127179
BaseRepresentation
bin1001101101010…
…1101110111100
32211121212011210
42123111232330
540411040330
64012444420
71003061052
oct233255674
984555153
1040721340
1120a93600
1211779710
138589c8a
1455a01d2
1538958b0
hex26d5bbc

40721340 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 9609600.

The previous prime is 40721333. The next prime is 40721347. The reversal of 40721340 is 4312704.

It is an interprime number because it is at equal distance from previous prime (40721333) and next prime (40721347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40721347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515421 + ... + 515499.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 240721340 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 40721340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

40721340 is an abundant number, since it is smaller than the sum of its proper divisors (87980100).

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

40721340 is a wasteful number, since it uses less digits than its factorization.

40721340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40721340 is about 6381.3274481098. The cubic root of 40721340 is about 344.0387440587.

It can be divided in two parts, 407213 and 40, that added together give a triangular number (407253 = T902).

The spelling of 40721340 in words is "forty million, seven hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 79 110 121 132 142 158 165 213 220 237 242 284 316 330 355 363 395 426 474 484 605 660 710 726 781 790 852 869 948 1065 1185 1210 1420 1452 1562 1580 1738 1815 2130 2343 2370 2420 2607 3124 3476 3630 3905 4260 4345 4686 4740 5214 5609 7260 7810 8591 8690 9372 9559 10428 11218 11715 13035 15620 16827 17182 17380 19118 22436 23430 25773 26070 28045 28677 33654 34364 38236 42955 46860 47795 51546 52140 56090 57354 61699 67308 84135 85910 95590 103092 112180 114708 123398 128865 143385 168270 171820 185097 191180 246796 257730 286770 308495 336540 370194 515460 573540 616990 678689 740388 925485 1233980 1357378 1850970 2036067 2714756 3393445 3701940 4072134 6786890 8144268 10180335 13573780 20360670 40721340