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16913040 = 2435193709
BaseRepresentation
bin100000010000…
…1001010010000
31011211021022220
41000201022100
513312204130
61402301040
7263521104
oct100411220
934737286
1016913040
119602021
1257b7780
133672321
142363904
151741410
hex1021290

16913040 has 80 divisors (see below), whose sum is σ = 55204800. Its totient is φ = 4271616.

The previous prime is 16913009. The next prime is 16913047. The reversal of 16913040 is 4031961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16913040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16913047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2706 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 216913040 is an apocalyptic number.

16913040 is a gapful number since it is divisible by the number (10) 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 16913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602400).

16913040 is an abundant number, since it is smaller than the sum of its proper divisors (38291760).

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

16913040 is a wasteful number, since it uses less digits than its factorization.

16913040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 16913040 is about 4112.5466562703. The cubic root of 16913040 is about 256.6889806503.

The spelling of 16913040 in words is "sixteen million, nine hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 3709 4560 7418 11127 14836 18545 22254 29672 37090 44508 55635 59344 70471 74180 89016 111270 140942 148360 178032 211413 222540 281884 296720 352355 422826 445080 563768 704710 845652 890160 1057065 1127536 1409420 1691304 2114130 2818840 3382608 4228260 5637680 8456520 16913040