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148207104 = 293371151
BaseRepresentation
bin10001101010101…
…11011000000000
3101022212200221000
420311113120000
5300420111404
622412332000
73446511453
oct1065273000
9338780830
10148207104
1176728211
1241774000
1324921b16
141597d49a
15d028339
hex8d57600

148207104 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 48384000.

The previous prime is 148207099. The next prime is 148207127. The reversal of 148207104 is 401702841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981429 + ... + 981579.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2148207104 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 148207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

148207104 is an abundant number, since it is smaller than the sum of its proper divisors (299621376).

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

148207104 is an equidigital number, since it uses as much as digits as its factorization.

148207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148207104 is about 12174.0340068525. The cubic root of 148207104 is about 529.2038646167.

Adding to 148207104 its reverse (401702841), we get a palindrome (549909945).

The spelling of 148207104 in words is "one hundred forty-eight million, two hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 151 192 213 216 256 284 288 302 384 426 432 453 512 568 576 604 639 768 852 864 906 1136 1152 1208 1278 1359 1536 1704 1728 1812 1917 2272 2304 2416 2556 2718 3408 3456 3624 3834 4077 4544 4608 4832 5112 5436 6816 6912 7248 7668 8154 9088 9664 10224 10721 10872 13632 13824 14496 15336 16308 18176 19328 20448 21442 21744 27264 28992 30672 32163 32616 36352 38656 40896 42884 43488 54528 57984 61344 64326 65232 77312 81792 85768 86976 96489 109056 115968 122688 128652 130464 163584 171536 173952 192978 231936 245376 257304 260928 289467 327168 343072 347904 385956 490752 514608 521856 578934 686144 695808 771912 981504 1029216 1043712 1157868 1372288 1543824 2058432 2087424 2315736 2744576 3087648 4116864 4631472 5489152 6175296 8233728 9262944 12350592 16467456 18525888 24701184 37051776 49402368 74103552 148207104