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190542144 = 2631397787
BaseRepresentation
bin10110101101101…
…11000101000000
3111021112112200110
423112313011000
5342234322034
630523551320
74502403312
oct1326670500
9437475613
10190542144
1198613151
125398b540
1330625440
141b43d7b2
1511adbde9
hexb5b7140

190542144 has 112 divisors (see below), whose sum is σ = 549217088. Its totient is φ = 57950208.

The previous prime is 190542109. The next prime is 190542161. The reversal of 190542144 is 441245091.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241719 + ... + 242505.

It is an arithmetic number, because the mean of its divisors is an integer number (4903724).

Almost surely, 2190542144 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 190542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274608544).

190542144 is an abundant number, since it is smaller than the sum of its proper divisors (358674944).

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

190542144 is a wasteful number, since it uses less digits than its factorization.

190542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 190542144 is about 13803.7003734506. The cubic root of 190542144 is about 575.4359833916.

The spelling of 190542144 in words is "one hundred ninety million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 156 192 194 208 291 312 388 416 582 624 776 787 832 1164 1248 1261 1552 1574 2328 2361 2496 2522 3104 3148 3783 4656 4722 5044 6208 6296 7566 9312 9444 10088 10231 12592 15132 18624 18888 20176 20462 25184 30264 30693 37776 40352 40924 50368 60528 61386 75552 76339 80704 81848 121056 122772 151104 152678 163696 229017 242112 245544 305356 327392 458034 491088 610712 654784 916068 982176 992407 1221424 1832136 1964352 1984814 2442848 2977221 3664272 3969628 4885696 5954442 7328544 7939256 11908884 14657088 15878512 23817768 31757024 47635536 63514048 95271072 190542144