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40974960 = 24351323571
BaseRepresentation
bin1001110001001…
…1101001110000
32212002202002010
42130103221300
540442144320
64022122520
71005165345
oct234235160
985082063
1040974960
1121147104
1211880440
138648550
1456287cc
1538e5ae0
hex2713a70

40974960 has 160 divisors (see below), whose sum is σ = 142990848. Its totient is φ = 9630720.

The previous prime is 40974931. The next prime is 40974971. The reversal of 40974960 is 6947904.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 71475 + ... + 72045.

Almost surely, 240974960 is an apocalyptic number.

40974960 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 40974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495424).

40974960 is an abundant number, since it is smaller than the sum of its proper divisors (102015888).

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

40974960 is a wasteful number, since it uses less digits than its factorization.

40974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 40974960 is about 6401.1686433026. The cubic root of 40974960 is about 344.7515118893.

The spelling of 40974960 in words is "forty million, nine hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 312 345 368 390 460 520 552 571 598 624 690 780 897 920 1040 1104 1142 1196 1380 1495 1560 1713 1794 1840 2284 2392 2760 2855 2990 3120 3426 3588 4485 4568 4784 5520 5710 5980 6852 7176 7423 8565 8970 9136 11420 11960 13133 13704 14352 14846 17130 17940 22269 22840 23920 26266 27408 29692 34260 35880 37115 39399 44538 45680 52532 59384 65665 68520 71760 74230 78798 89076 105064 111345 118768 131330 137040 148460 157596 170729 178152 196995 210128 222690 262660 296920 315192 341458 356304 393990 445380 512187 525320 593840 630384 682916 787980 853645 890760 1024374 1050640 1365832 1575960 1707290 1781520 2048748 2560935 2731664 3151920 3414580 4097496 5121870 6829160 8194992 10243740 13658320 20487480 40974960