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40759420 = 22513231389
BaseRepresentation
bin1001101101111…
…1000001111100
32211200210102011
42123133001330
540413300140
64013341004
71003310062
oct233370174
984623364
1040759420
112100a179
1211797764
1385a1400
1455b0032
1538a1cea
hex26df07c

40759420 has 72 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 14526720.

The previous prime is 40759417. The next prime is 40759447. The reversal of 40759420 is 2495704.

It is a super-2 number, since 2×407594202 = 3322660637472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104586 + ... + 104974.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 240759420 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 40759420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

40759420 is an abundant number, since it is smaller than the sum of its proper divisors (55161860).

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

40759420 is a wasteful number, since it uses less digits than its factorization.

40759420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 40759420 is about 6384.3104561104. The cubic root of 40759420 is about 344.1459516781.

The spelling of 40759420 in words is "forty million, seven hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 169 260 310 338 389 403 620 676 778 806 845 1556 1612 1690 1945 2015 3380 3890 4030 5057 5239 7780 8060 10114 10478 12059 20228 20956 24118 25285 26195 48236 50570 52390 60295 65741 101140 104780 120590 131482 156767 241180 262964 313534 328705 627068 657410 783835 1314820 1567670 2037971 3135340 4075942 8151884 10189855 20379710 40759420