Search a number
-
+
3990196560 = 2435717313729
BaseRepresentation
bin1110110111010101…
…1001000101010000
3101022002020222122210
43231311121011100
531132442242220
61455535432120
7200611053060
oct35565310520
911262228583
103990196560
1117683a8809
12934385640
134b789b46c
1429bd213a0
1518548a6e0
hexedd59150

3990196560 has 160 divisors (see below), whose sum is σ = 14219447040. Its totient is φ = 906706944.

The previous prime is 3990196489. The next prime is 3990196577. The reversal of 3990196560 is 656910993.

3990196560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 283776 + ... + 297504.

It is an arithmetic number, because the mean of its divisors is an integer number (88871544).

Almost surely, 23990196560 is an apocalyptic number.

3990196560 is a gapful number since it is divisible by the number (30) 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 3990196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109723520).

3990196560 is an abundant number, since it is smaller than the sum of its proper divisors (10229250480).

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

3990196560 is a wasteful number, since it uses less digits than its factorization.

3990196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13925 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The square root of 3990196560 is about 63168.0026595744. The cubic root of 3990196560 is about 1586.1031584909.

The spelling of 3990196560 in words is "three billion, nine hundred ninety million, one hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13729 13840 14532 18165 19376 20760 24220 27458 29064 36330 41187 41520 48440 54916 58128 68645 72660 82374 96103 96880 109832 137290 145320 164748 192206 205935 219664 274580 288309 290640 329496 384412 411870 480515 549160 576618 658992 768824 823740 961030 1098320 1153236 1441545 1537648 1647480 1922060 2306472 2375117 2883090 3294960 3844120 4612944 4750234 5766180 7125351 7688240 9500468 11532360 11875585 14250702 16625819 19000936 23064720 23751170 28501404 33251638 35626755 38001872 47502340 49877457 57002808 66503276 71253510 83129095 95004680 99754914 114005616 133006552 142507020 166258190 190009360 199509828 249387285 266013104 285014040 332516380 399019656 498774570 570028080 665032760 798039312 997549140 1330065520 1995098280 3990196560