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54855120 = 24353173101
BaseRepresentation
bin1101000101000…
…0010111010000
310211012221002010
43101100113100
5103020330440
65235422520
71234155315
oct321202720
9124187063
1054855120
1128a67511
1216454a40
13b498268
1473dcd0c
154c38580
hex34505d0

54855120 has 160 divisors (see below), whose sum is σ = 179702784. Its totient is φ = 13824000.

The previous prime is 54855103. The next prime is 54855121. The reversal of 54855120 is 2155845.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54855121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543070 + ... + 543170.

Almost surely, 254855120 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 54855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89851392).

54855120 is an abundant number, since it is smaller than the sum of its proper divisors (124847664).

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

54855120 is a wasteful number, since it uses less digits than its factorization.

54855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 54855120 is about 7406.4242384568. The cubic root of 54855120 is about 379.9610301681.

The spelling of 54855120 in words is "fifty-four million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 73 80 93 101 120 124 146 155 186 202 219 240 248 292 303 310 365 372 404 438 465 496 505 584 606 620 730 744 808 876 930 1010 1095 1168 1212 1240 1460 1488 1515 1616 1752 1860 2020 2190 2263 2424 2480 2920 3030 3131 3504 3720 4040 4380 4526 4848 5840 6060 6262 6789 7373 7440 8080 8760 9052 9393 11315 12120 12524 13578 14746 15655 17520 18104 18786 22119 22630 24240 25048 27156 29492 31310 33945 36208 36865 37572 44238 45260 46965 50096 54312 58984 62620 67890 73730 75144 88476 90520 93930 108624 110595 117968 125240 135780 147460 150288 176952 181040 187860 221190 228563 250480 271560 294920 353904 375720 442380 457126 543120 589840 685689 751440 884760 914252 1142815 1371378 1769520 1828504 2285630 2742756 3428445 3657008 4571260 5485512 6856890 9142520 10971024 13713780 18285040 27427560 54855120