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96897840 = 24351322389
BaseRepresentation
bin1011100011010…
…00101100110000
320202022220211220
411301220230300
5144301212330
613340505040
72254421664
oct561505460
9222286756
1096897840
114a772866
122854b180
13170c8800
14cc248a4
158790710
hex5c68b30

96897840 has 120 divisors (see below), whose sum is σ = 325403280. Its totient is φ = 23841792.

The previous prime is 96897803. The next prime is 96897863. The reversal of 96897840 is 4879869.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 39366 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (2711694).

Almost surely, 296897840 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 96897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162701640).

96897840 is an abundant number, since it is smaller than the sum of its proper divisors (228505440).

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

96897840 is a wasteful number, since it uses less digits than its factorization.

96897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 96897840 is about 9843.6700472944. The cubic root of 96897840 is about 459.3087285582.

The spelling of 96897840 in words is "ninety-six million, eight hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2389 2535 2704 3120 3380 4056 4778 5070 6760 7167 8112 9556 10140 11945 13520 14334 19112 20280 23890 28668 31057 35835 38224 40560 47780 57336 62114 71670 93171 95560 114672 124228 143340 155285 186342 191120 248456 286680 310570 372684 403741 465855 496912 573360 621140 745368 807482 931710 1211223 1242280 1490736 1614964 1863420 2018705 2422446 2484560 3229928 3726840 4037410 4844892 6056115 6459856 7453680 8074820 9689784 12112230 16149640 19379568 24224460 32299280 48448920 96897840