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122073984 = 2732105967
BaseRepresentation
bin1110100011010…
…11001110000000
322111201000000200
413101223032000
5222222331414
620040245200
73011416554
oct721531600
9274630020
10122073984
11629a8a9a
1234a70800
131c3a1c36
14122d9864
15aab5109
hex746b380

122073984 has 48 divisors (see below), whose sum is σ = 351283920. Its totient is φ = 40690944.

The previous prime is 122073983. The next prime is 122073997. The reversal of 122073984 is 489370221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122073983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51832 + ... + 54135.

It is an arithmetic number, because the mean of its divisors is an integer number (7318415).

Almost surely, 2122073984 is an apocalyptic number.

It is an amenable number.

122073984 is an abundant number, since it is smaller than the sum of its proper divisors (229209936).

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

122073984 is a wasteful number, since it uses less digits than its factorization.

122073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105987 (or 105972 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 122073984 is about 11048.7096079135. The cubic root of 122073984 is about 496.0678020389.

The spelling of 122073984 in words is "one hundred twenty-two million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 105967 211934 317901 423868 635802 847736 953703 1271604 1695472 1907406 2543208 3390944 3814812 5086416 6781888 7629624 10172832 13563776 15259248 20345664 30518496 40691328 61036992 122073984