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1242177024 = 29311371987
BaseRepresentation
bin100101000001010…
…0001111000000000
310012120101010112110
41022002201320000
510020444131044
6323132055320
742532221234
oct11202417000
93176333473
101242177024
115881a3a90
122a8004540
1316a470bba
14bad8c5c4
15740bc6b9
hex4a0a1e00

1242177024 has 160 divisors (see below), whose sum is σ = 3709512576. Its totient is φ = 366059520.

The previous prime is 1242177023. The next prime is 1242177043. The reversal of 1242177024 is 4207712421.

It is a junction number, because it is equal to n+sod(n) for n = 1242176982 and 1242177000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242177023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624159 + ... + 626145.

Almost surely, 21242177024 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 1242177024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854756288).

1242177024 is an abundant number, since it is smaller than the sum of its proper divisors (2467335552).

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

1242177024 is a wasteful number, since it uses less digits than its factorization.

1242177024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 1242177024 is about 35244.5318311933. The cubic root of 1242177024 is about 1074.9654285619.

Adding to 1242177024 its reverse (4207712421), we get a palindrome (5449889445).

The spelling of 1242177024 in words is "one billion, two hundred forty-two million, one hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1056 1184 1221 1408 1536 1628 1776 1987 2112 2368 2442 2816 3256 3552 3974 4224 4736 4884 5632 5961 6512 7104 7948 8448 9472 9768 11922 13024 14208 15896 16896 18944 19536 21857 23844 26048 28416 31792 39072 43714 47688 52096 56832 63584 65571 73519 78144 87428 95376 104192 127168 131142 147038 156288 174856 190752 208384 220557 254336 262284 294076 312576 349712 381504 441114 508672 524568 588152 625152 699424 763008 808709 882228 1017344 1049136 1176304 1398848 1526016 1617418 1764456 2098272 2352608 2426127 2797696 3052032 3234836 3528912 4196544 4705216 4852254 5595392 6469672 7057824 8393088 9410432 9704508 11190784 12939344 14115648 16786176 18820864 19409016 25878688 28231296 33572352 37641728 38818032 51757376 56462592 77636064 103514752 112925184 155272128 207029504 310544256 414059008 621088512 1242177024